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Answers to Puzzle #272
Showing 1 to 50 of 183 answers:
Answer #1:
From: 26930
School: 8596
1. Annie would have to save an additional 59 shots, or 190
altogether, to get her save percentage to 90%. Extra credit: It
would take an additional 150 shots (with Annie saving 141 of them) to
get her save percentage to 90 %.
Let x = number of saves Annie has, and let y = number of shots she
faces. We know that x/y = .9, to give her a save percentage of 90
%. Also, she has already saved 112 of 131 shots and doesn't miss any
more the rest of the year. Therefore, we know that y is 19 more than
x. So x = y-19. Therefore, by substitution, (y-19)/y = .9. So, .9y
= y-19. Adding 19 to both sides and subtracting .9y from both sides
gives .1y = 19. Therefore y = 190. x = y - 19, so x = 171. Since
171/190 is .9, the answer checks.
Extra credit: Let x = number of additional saves Annie gets
Let y = number of additional shots she faces.
We know that x/y = .94 since she saves 94% of the rest of the shots.
Since she has already saved 112 of 131 shots, her total for the
season will equal (112+x)/(131+y)= .9
Since x/y = .94, then x = .94y.
Substituting this into the second equation gives (112 + .94y)/(131 +
y) = .9.
112 + .94y = .9 (131 + y)
112 + .94y = 118 + .9y
Subtracting 112 and .9y from both sides gives:
.04y = 6
Multiplying both sides by 25 gives:
y = 150.
Therefore, Annie must face 150 additional shots.
Since she saves 94% of them, she saves 141 of them (.94 x 150).
For a season total, this gives 112 + 141 saves or 253, and 131 + 150
shots or 281.
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253/281 is a hair over 90%, so this checks as well.
Answer #2:
From: 27843
School: 10234
Annies percentage right now is an 85%.to get her save percentage up
to 90% she will have to save 59 more shots and if she was to omly
make 94% of her shots, it would take 312 shots
estimation
Answer #3:
From: 26874
26875
School: 9124
Her save percentage now is .8549 or .855 when rounded. She has to
save 51 more shots for her shot pecentage to reach .900.
When we first looked at this problem we were thinking that it looked
hard. But, after thinking it over we finally found it out. We first
had to find the save percentage. To find this, we divided her
current saves to how many shots on goal. Her current saves, 112,
divided by the shots on goal,131, equaled the save percentage, .855.
After finding this we found out how many shots she would have to
save for her to get her shot percentage up to .900. We needed to
find the percentage of shots she needs to save to get to .900. We
subtracted her current shot percentage from .900. We reached 0.45
or 45%. We used a proportion, 45 over 100 equals X over 112, to find
how many shots she needed to save to get to 900. We used cross
multiplication or multiplying the numarator by the denomanator of
the other porportion. So in this equation:
45
x
-- = --100 112
100x = 5040
------100
100
x = 50.40 or 51 rounded.
X equaled how many shots she would have to save.
Now we added 51 to 112 and added 51 to 131 so we got 112 + 51 = 163
and 131 + 51 = 182
so she had make 163 saves in her career this season.
It was supposed to be 59, but our 51, when rounded up, equaled .900
so, we don't know what we did wrong.
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Answer #4:
From: 26870
School: 9124
So far this season she has a save percentage of .855. To raise her
percentage to .900 she will need to save all of her next 45 shots on
goal.
To find her save percentage so far i pit 112 over 131 like
this:112/131 and simplified it into the percentage .855.
I then knew that i had to find how many saves she would have to
bring her percentage from .855 up .045 to .900. I figured that all
i had to do was to find how many saves it would take to get .045 up
from .855. I took the long easy and simple way to find the answer. I
first started at 112/131 and added 2 to each side until i got
to .900. this is how i went about doing it:
112/131 = .855
114/133 = .857
116/135 = .859
After about 50 more tries of doing that i got to 170/189 which
equalled .899 so this time i added only 1 to both sides and got
171/190 = .900. then I subtracted 112 from 171 and 131 from 190 and
got 59/59. That meant that if she saves her next 59 shots, she will
raise her save percentage to .900.
Answer #5:
From: 26885
26877
School: 9124
Her save percentage now is .855. Then she has to make 59 save to
raise her save percentage to .900.
First we had to 112 divided by 131 to get her save percentage right
now, which is .855. to find out how many saves she needs to get to
be able to .900, we had to do add the same number on to the shots
and saves to get .900. so we added 59 to each number and got 171
for the number of saves and 190 for the shots taken. The answer we
got was .900.
Answer #6:
From: 27845
School: 10239
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a. Her current save percentage is .855, rounded.
b. To get her save percentage to at least .900 she will have to save
every shot for the next 59 shots.
c. Annie wants to get to .900 making only 94% saves. 145-151 more
shots will need to be taken at her, giving her 136-142 saves,
respectivly. At the very minimum, she will need to have a season
total of 276 shots taken with 248 saves.
a. I divided shots saved by shots taken.
b. Guess and check. Started checking with total shots taken at 190
and shots saved at 171. Which ws the correct answer.
c. Guess and check. Started checking with slitly more than the
number of shots already taken. (160 more shots with 94% saves or 150
saves) That gave me a grand total of 291 shots taken, 262 shots
saved with .902 percentage. Since the value was close, i guess and
checked reducing to smaller numbers, repeating the above process,
untill i came up with the correct answer.
Answer #7:
From: 27620
School: 2883
She must save 1 goal.
YAY
Answer #8:
From: 27847
School: 3761
SHe saved 3 shots.
Yay
Answer #9:
From: 27625
School: 9049
her percentage right now is .855 and to get it up to .900 she would
need to save 59 more shots.
To get the first answer io took 112/131 and got .855 because it is
the amount of shots she was faced with by the amount of shots that
she saved.
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for the second answer i did guess and check. after several tries i
found that 171/190 was the total amount that she would need to get
an average of .900. then to get 59 i subtracted the total score she
needed to get .900 from the amount that she had before to get 59.
171-190=59 more shots that she must face and stop.
Answer #10:
From: 27356
School: 9049
Annie's current shot percentage is .855. To raise her shot percentage to .900
she would have
to save the next 59 shots.
To get Annie's current shot percentage I divided the number of shots she saved
(112) by the
number of shots faced (131). For the second part of the problem, I created an
equation:
(112 + x)/(131 + x) = 0.900
where x equals the number of shots Annie would need to save in order to get a
.900 save
percentage. I used algebra to get x on one side of the equation to find out
that x=59.
Answer #11:
From: 27848
School: 10243
Annie's save percentage right now
for the next few games, she would
save percentage to .900. If Annie
next few games, she would need to
percentage to be .900.
is .855. If Annie saves every shot
need to save 59 shots to raise her
saved 94 percent of her shots in the
save 139 shots for her save
For the first step I simply divided 112 by 131 and rounded off to 3 decimal places. For the
second step I set up the equation as .900=112+x/131+x to figure out how many she would need
if she saved EVERY one that she faced, hence I added the same amount to the top and bottom.
Finally, for the third part, I set up the equation as .900=112+.94x/131+x. I did this because, she
saved only 94% of her shots in the next few games, not all of them, so x=the amount of shots
Annie faced, and .94x=the amount of shots Annie actually saved. This equation would give me
eventually that x=147.5. I figured out that you would have to round that number up to 148
because then .94x would equal 139, and subbing this into the equation would give you .8996,
which rounds up to .900.
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Answer #12:
From: 27656
School: 3222
45
112/131 + x = 900
x = 45
Answer #13:
From: 27071
School: 9049
For the first question Annie's percentage would be .855. In the
second question she would have to save 59 shots to raise her season
save percentage to .900.
For figuring out this problem I first divided the number of saves
made by the number of shots faced. So the numbers would 112 saves
and 131 shots which equals out to .855 percent. Then I fugred out
the second part by guess and check and came up with 171 saves divid
by 190 shots. Then I took the new number of saves, 171 and
subtracted by the original number of saves, 112 to get the answer of
59 saves that Annie would have to make to raise her percentage.
Answer #14:
From: 27723
27722
27721
School: 9597
WHen Annie faced 131 shots and saved 112 her save percentage is 1.70.
TO raise her save percentage to .900 she would have to have to have
131 shots and 145 saves rounded.
I used the guess and test process by adding 2 to the saves and
dividing 131 by whatever number I had until i got 2 145 rounded.
Answer #15:
From: 26869
School: 9124
Annie's save percentage right now is .855, or in other words, she
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saved 85.5% of the shots taken on her. If she wanted to raise her
average to .900, she would have 190 shots taken on her and save 171
of the shots.
I devided the number of shots saved by the number of shots taken. I
got the percentage of saves.
I created an equation from that and I got .855 + X = .900 then I
took X=.900-.855 and got X=.045. I then multiplied 131 x 4.5% =59
more shots, therefore I added 131+59=190 total shots taken on her.
Then I added 112+59=171 to get the number of shots saved. sisce she
saved every shot taken on her I found that the number of shots taken
and the number of shots saved would go up evenly by 59.
Answer #16:
From: 27850
School: 1462
85.496 she would have to save the next 59 shots.
fagdf hfghfjy dgdfdgf hjuyirt fgjghurtyre hfgjsyutae .
Answer #17:
From: 27852
27851
School: 10249
171/190 =.900, therefore 171-112 is 59. So there are 59 more saves she
must make to raise her percentage to .900.
We just kept adding her stats with numbers until when divided, the
percentage reached the .900 mark. We had the thought that perhaps one
save would equal a half of a percent, so we added twice of 15 percent
to the amount of saves. We only had to reduce by one save to get the
answer to be .900
Answer #18:
From: 27353
School: 2644
59
59
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Answer #19:
From: 26942
School: 9169
The answer to the first question is .855 average. The answer to the
second question is after 59 more shots saved in a row she will have
a .9 save average.
For question one I divided 112 by 131 and got .855. For #2, I did
guess and check. I added 30 to each. It was too low, so I added
another thirty. This time it was about .901, so I took off one from
each side and it worked. I ended up with 171 saves on 190 shots. I
took 171 minus 112 which gave me 59, or the answer.
Answer #20:
From: 27748
School: 9468
Now She has .855 for her save percentage. To raise her save
percentage she would have to save five more goals.
Her Percentage Now: 112/131=.855
To raise her Percentage: .900=.855+112X then subtract .855 from both
sides to get .045=112X. Next divid both sides to get rid of 112 and
get X on its own. When you divid .045 by 112 you should get 4.017...
and I think that because there are so many numbers after the decimal
point then she should roud that up to five more goals to save.
Answer #21:
From: 26886
School: 9124
For the first part you just divide 112 by 131 to get 0.855 when
rounded.
for the second part, the new shots needed were 59.
For the second part, I realized that I would need to add the number
of new shots faced to both the shots saved and the shots faced. I
made x the new number of shots. (112+x)/(131+x)=.9
(112+x)/(131+x)(131+x)=.9(131+x)
112+x=117.9+.9x
-.9x -.9x
112+.1x=117.9
-112 -112
.1x=5.9
.1x(10)=5.9(10)
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x=59
Answer #22:
From: 27796
School: 10202
Her save percentage is .855,to get a .900 percentage, she would have
to get 117.9 saves if given 131 shots.
I got my soloution first by doing the simple division problem 112/131 to get .8549 then rounded
up to .855. After getting this, I started on the .900 solution. I just made a simple equation
.900=131/x. I solved this by dividing by 131 on each side, getting 117.9=x. this means that she
sould needs to save 117.9 shots exactly to get a .9 average.this is if her shots on goal do not
increase. to get her percent with each shots and saves increasing, you need to first make a
table.In my table, I saw that for every increasing shot and save, the gsp (goalie save percentage)
would go up in the thousanths place, ex.(.855, .856, .857).so,,, if you subtract .855 from .900,
you would get 45 shots more...but you need to take into concideration the rounding...so there
needs to be a few more shots. I came to the answer that she would need 59 more shots and
saves to get her gsp to .900.
Answer #23:
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From: 27856
School: 7043
I figured out that her current average was .855, but I didn't have
enough time to figure out the answers to the other questions.
I divided 131 by 112 to get .855 for her current average. I knew she
needed .45 more, so I figured out her averages for 5, 10, 20, 30,
150, and 200 shots. I used guess and check to try and figure out the
other question. I realized this was going to take longer than I had
the time for without an equation, so I chose to work on it more but
get the answers first to help me understand it.
Answer #24:
From: 27857
School: 3078
annie needs 118/131 saved shots, with these shots she gets the percentage
of .901
first i got the percentage of her current saved shots which was .855 when
rounded and i got the percentge for saved shots-119/131, 118/131, 117/131
and the one that came closet was 118/131 with the percentege of .901
Answer #25:
From: 26968
School: 9169
Annie's save percentage now is 0.855 rounded to the nearest
thousandth.
Annie would have to make 59 more saves to get a save percentage of
0.900.
For the first question What is her save percentage now you do
112/131 which equals 0.855. To figure out the answer for How many
shots she needs to raise her save percentage to .9 you set up the
equation (112+x)/(131+x)=.900. So first you could say 112+x=.900*
(131+x). Then to change the right side of the to just an addition
problem you do .900*131+.900*x, which equals 117.9+.9x. So now the
equation is 112+x=117.9+.9x. So if you move 112 over to the right
side you get x=117.9+.9x-112. If you then move .9x over to the left
side you get an equation of x-.9x=117.9-112, if you calculate it out
you get .1x=5.9, so now you get x by itself by dividing each side by
0.1. to get x=59. So Annie will have to make 59 more saves to get
a save percentage of 0.900 if she saves 100% of her next shots.
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Answer #26:
From: 27561
School: 9049
Her save percentage right now is .855. She would have to save the
next 59 shots to have a .900 saving percentage.
We used algebra to solve this problem. I made up variables like for
example s=number of saves and t=number of total shots. Then, I put
the variables in a division problem showing 112+s divided by 131+t,
which equalled .900. I did this because since s is the number of
shots she needs to save and t is the new total, we want the new
percentage to be .900.
Then I realized that s is the same as t because she needs to save
every single shot. So I plugged in t for s and my new equation was
112+t divided by 131+t equals .900.
To solve the equation I got rid of the denominator of 131+t by
multiplying it by boht sides. Then I got the ts to be on one side by
subtracting .9t from both sides. At this point my equation was 117.9
= 112 + .1t.
Next, I subtracted 112 from both sides to get t by itself. Then the
new equation was 5.9 = .1t. Then I divided .1 into both sides to get
t by itself, and that gave me t=59.
THis meant that she would have to save the next 59 shots to get
a .900 percentage. :)
Answer #27:
From: 27858
School: 8000
right now she has a .855. if she wants to raise it she'll have to
get more then 8 saves to get higher then .900.
i took 112 and divided it by 131 and it equaled .855. so i took and
tried number's higher then 120 and those were the numbers that came
out higher then her set average. i put 120 divided by 131 it = .900
Answer #28:
From: 27859
School: 10256
The goalie's current average is .855. 138 goals will need to be saved
in order to reach the .900 mark
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Divide the number of goals saved by the number of attempts to reach
the current rate. Once you have the rate, you set up a cross
multiplication problem with the total number of shots to date over
the current average equal to x over the .900 target rate.
Answer #29:
From: 27861
School: 254
2
2 is the reason
Answer #30:
From: 27862
School: 5789
Annie's save percentage right now is .855
She would have to save 4.5 shots to raise her season save percentage
to .900
I broke down the language of the problem to a math problem and solved.
Answer #31:
From: 27863
School: 10263
If a goalie faces 131 shots but only makes 112 saves, then her save
percentage would be: 112/131= .854961832 or about .855
To get the answer to the question, you must divide the number of
saves(112) by the number of shots(131).
Answer #32:
From: 27865
School: 4920
She would have to make one-hundred and seventy-two saves out of onehundred and ninety-one shots inorder to have a percent of .901.
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I chose
i added
divided
rounded
12/2/08 5:42 PM
a guessed number of more shots she could try which was 60, so
60 to the number of shots shes taken and the ones shes saved
the shots save by the shots taken and got .90052 which i
to .901
Answer #33:
From: 27602
School: 455
LJHL
JLJHLKJ
Answer #34:
From: 27866
School: 4503
Idon't know what I'm doing, need to know directions to how to find
x,y,or z
3x(1+ y)=9 + z where y=4, x=2
the answer is 21, please show me how
2zx2y=18 where x=1, z=y
the answer is 3, show me how
Answer #35:
From: 27036
School: 9049
If Annie caught every shot, she would need to catch 59 more shots to raise
her season percentage to .9.
Challenge: If Annie caught 94% of her shots, it would take her 148 shots to
raise her season percentage to .9.
If Annie catches every shot, I must add that amount of shots to the numerator
and denomonator of the saved shots over total shots equation: 112/131
If x is the total number of new shots, then I add x to 112 and 131:
(112+x)/(131+x)
This must equal .9. To solve for x. I cross-multiply. This gives me:
112+x=.9(131+x)
I isolate x to one side of the equation to get:
112+x=117.9+.9x
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-112
-112
-----------------------x=5.9+.9x
-.9x
-.9x
--------------.1x=5.9
x=59
If she caught all her shots, she would need to catch 59 more shots to raise
her
season percentage to 90%.
Challenge: If Annie catches 94% of her shots, I must add 94 percent of the
new shots to the numerator and 100% of the new shots to the denomonator of
the equation of the saved shots over total shots (if x is the total number of
new
shots) then I add .94x to 112 and x to 131:
(112+.94x)/(131+x)
This must equal .9. To solve for x. I cross-multiply. This gives me:
112+.94x=.9(131+x)
I isolate x to one side of the equation to get:
112+.94x=117.9+.9x
-112
-112
-----------------------.94x=5.9+.9x
-.9x
-.9x
--------------.o4x=5.9
x=147.5
If she caught 94% of her shots, she would need to catch 148 more shots to
raise her season percentage to 90%.
Answer #36:
From: 27393
School: 9468
Because she has saved 112 shots out of 131, you divide them, that
equals .855. So, if you look at the table I make, you can see that
it would take 153/172 to make the precent of .900.
So to start with, you can see that i divided each of the "propotions" to get the first few numbers
and then say a pattern. So I made the intrvals bigger to nowow down the results. For the final
step, if found the pair 153 and 172, divided them to get .900. She would have to save 41 goal
and no missis to get the percent.
Answer #37:
From: 27868
School: 7302
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The answer is six or egiht games.
First I divided 131 into 900 then 112 into 900 and got 6 on one and
8 on the other.
Answer #38:
From: 27869
School: 5990
The goalie would have to save 51/51 shots.
112/131=.855
add 51/51
171/190=.9
Answer #39:
From: 26868
School: 7171
Annie has a .855 save percentage. Annie needs to save the next 59
shots to get a .9 save percentage.
She has saved 112/131 shots. This gives her a .855.
The equation to solve this is
112 + x / 131 + x = .900.
171/190 = .9
171-112 = 59
112 + 59 / 131 + 59 = .9.
Answer #40:
From: 27870
School: 10272
Really don't know
Need more information
Answer #41:
From: 27871
School: 6935
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I believe the answer is 0.855
I divided 112 by 313 on a calculator on my computer and then rounded
my answer to the nearest third place and I got 0.855 in the end.
Answer #42:
From: 27038
School: 9254
Annie's save percentage right now is .855. To raise her percentage
to .900 by saving every shot for the next few games, she would have
to save 59 shots.
Extra: If she only saved 94% of the shots she faces during the next
few games, she would have to save 141 shots to raise her percentage
to .900.
To solve this problem, I first noticed how they calculated
percentage. For example:
136 shots saved / 148 shots faced = .919 when rounded
I then applied this method to Annie's season. She has faced 131 shots
and made 112 saves:
112 / 131 = .855
So her current save percentage is .855
Then I needed to find out how many shots she would need to save to
raise her save percentage to .900. The problem states that she would
save do this by saving every shot in next few games. I then used the
trial and error method to find out exactly how many shots she would
have needed to save.
If she saved 50 shots, the equation would be 162 / 181. I got this by
adding 50 to both sides of the original equation (112 / 131), which
was Annie's save percentage. I then solved it and got this:
162 / 181 = .895
I see from this that she would need to save more than 50 shots.
I then tried 60 by adding 60 to both sides again, and solving:
182 / 201 = .905
I see that this 60 would make her save percentage over .900 so I
tried a number between 50 and 60. Since using 60, was closer than 50
(.895 < .905), I decided to try 59:
171 / 190 = .9 or .900
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12/2/08 5:42 PM
I found that if she saved 59 shots, she would raise her save
percentage to .900.
Extra:
To answer the extra question, I had to find out how many saves it
would take Annie to reach .900 if she only saved 94% of the shots she
faced in the upcoming games. To do this, I again used the trial and
error method. I started out at 100. I then added 94% of 100 (or 94)
to the number of shots she saved, and added 100 to the number of
shots she missed:
112 + 94 = 206
131 + 100 = 231
So I then plugged these numbers back into the original equation:
206 / 231 = .892
I see that she would have to face more than 100 shots to have a .900
save percentage.
I then try 140. 94% of 140 is 131.6 or 132, so:
112 + 132 = 244
131 + 140 = 271
244 / 271 = .899
I see that this is not quite .900, so I decide to try 141. 94% or 141
is 132.5 or 133:
112 + 133 = 245
131 + 141 = 272
245/272 = .901
I see that 141 shots are .001 more than .900, and when I look at 140
shots, I see that it is .001 less than .900. I conclude that since
you cannot block half a shot, Annie would have to face 141 shots in
the next few games to raise her save percentage to .900 if she only
saved 94% of the shots.
Answer #43:
From: 27872
School: 8546
Annie's save average right now is .855. She would have to save 45
more shots to raise her season percentage to .900. (Extra: 96 shots)
112/131= .855 (rounded)
.900-.855=45 (shots)
Extra:
.855x94%=.8037 or .804 (rounded)
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12/2/08 5:42 PM
.900-.804=96 (shots)
Answer #44:
From: 27070
School: 5567
112/131= .855% so, 171/190= .9%
She would need to save 49 more shots in a row to raise her average to
exactly .9%.
First, I took the amount that she had for the season already (112/131)
and divided it to get the percentage, which is .855%. Next, I kept on
adding shots to the shots she had saved or not sdaved already (e.x.
112/131 + 20 shots saved= 132/151= .874%) After doing that 3 times I
got the correct answer, which is 171/190= .9%. So took 171 and
subtracted 112 from it and got 49 shots. That's how many she would
need to save in a row to raise her average to .9%.
Answer #45:
From: 27815
School: 2483
The solution taht i got was that she had to make 51 saves in order to
get over .900 .
Well the first thing i did was try a low number like 20 or 25 and got
in the .800's still then i tried a number like 60 or 61 annd got
something in the .900's but it was way to hi to be the smallest
amount so i tried something afterwards like 51 or so and got an
answer of .9005 and rounded it up to .901 making 51 saves the
shortest amount.
Answer #46:
From: 27873
School: 2685
The amount she would need to save is 180.
I solved this by increasing the denominator and numerator each time
by 10. Then dividing it until i got .900.
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12/2/08 5:42 PM
Answer #47:
From: 27875
School: 10276
She would have to make 59 shots to get at least a .900 save
percentage.
Ok the way I would come up with my answer would be if you can divide
the amount blocked by the amount possible to figure the percentage
then to figure how much is needed to get a higher percentage you
have to add the same amount to both sides then divide them and keep
going till you get the answer. like start with 50 and go up thats
what I did.
Answer #48:
From: 27876
School: 4827
She will have to save 59 shots to raise her percentage to 90%
First we 112 and 131 and made it into 112/131. We found her
precentage was 854% so it was 854/900=1/x we cross multiplied to get
59=1/x
x=59 shots
Answer #49:
From: 27220
School: 9400
1. Annies save percentage is .855 if she blocked 112 shots of out of
131.
2. It Annie wanted to raise her saving average up to .900 she would
have to save 59 shots, not letting one go in.
3. If Annies saving average is 94% and she wants to raise her
average up to .900 she would have to goaltend 148 more shots.
1. I got .855 as my answer by dividing 112 by 131.
112
----- = .855
131
2. I got this answer by using the Trial and Error method. My
equation was n + 112
59 + 112
171
--------- or in my case n=59
---------- = ----- =.9
n + 131
59 + 131
190
3. I also used trial and error for this problem.
148 * .94 = 139.12 + 112 = 251.12
-------= .900
139.12 + 131
270.12
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12/2/08 5:42 PM
Answer #50:
From: 27816
School: 9049
For part A the answar is 85%. For part B the answer is 59 saves.
For part A all I did was divided 112 by 131. For part B i used guess
and check to come to the conclusion, whatever number i added to 112
I added to 131, then divided the new numerator by the new
denominator.
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