#(!04%2
È
-œṎœ˜ÃÊiÞ
0ERCENTS
!2% 9/5 2%!$9 0!'% RATIO
0!'%3 n
EQUIVALENT RATIOS
PROPORTION
?? ????
?? ???
??
????
???
?
?
???
????
CROSS MULTIPLY
?? ?
?? ??
???
?????
??
???
????
?X? ???
X ???
X ???
X
?
??
?
N
N ?? ?H?
H
?
?
H
N N ?? ???
Z
Z 4HINK AND $ISCUSS
0OSSIBLE ANSWER S D MONEY S D MEASUREMENTS IN
RECIPES S D SALES TAX
S D ?? S D S D IS MOST COMMON
WHEN WRITING IT
0OSSIBLE ANSWER )F THE NUMBER IS A DECIMAL YOU
CAN FIND THE EQUIVALENT PERCENT BY MULTIPLYING BY
OR THE EQUIVALENT FRACTION BY WRITING THE VALUE
OVER THE CORRECT POWER OF )F THE NUMBER IS A
FRACTION YOU CAN FIND THE DECIMAL BY DIVIDING THE
NUMERATOR BY THE DENOMINATOR )F THE NUMBER IS A
PERCENT YOU CAN FIND THE DECIMAL BY DIVIDING
BY %XERCISES
??
????
?
?
??
?? ?? H ?? ???
T
T T T ???
????
P
P Z P Z P ?
? ??
?? ?? ??
?? ?? ??
?? ?? ?
?? ??
! WATER MOLECULE CONSISTS OF ?? OXYGEN
E ?? F ????
?? H ???
G ????
???
?? ???
???
???
???
????
???
???
?? ?? ???
???
???
????
???
???
????
???
?? ?? ???
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
???
???? ???
?
?
????
?? ????
????
????
(OLT -C$OUGAL -ATHEMATICS
??
7YATT AND !LLYSON BOTH GOT THE SAME ANSWER BECAUSE
THE PROPORTIONS THEY USED TO FIND THEIR ANSWERS WERE
???
X FOR OF
THE SAME &OR OF ????
???
X )N BOTH CASES THE CROSS PRODUCTS
????
ARE X 4HIS WOULD WORK FOR ANY TWO
NUMBERS FOR THE SAME REASON
# ???
' ???
??
???
??
??
???
??
?? ???
?? ??
?? ??
????
???
????
???
?? ???
?? ??
??
??
???
??
?? ?? ?? ??
??? ??
??? ???
?? ??
??
??
???
??
?
?? ?? ?? ??
?? ?? ?? ?? ?? ?? ?? ?? 4OTAL PARTS ?????
4HE PERCENTAGE OF STERLING SILVER THAT IS NOT PURE IS
9ELLOW "LUE 0URPLE 2ED 2ED ???
"LUE ?? 0URPLE ???
9ELLOW ?? ?? 0OSSIBLE ANSWER %ACH NUMBER
INCREASES BY ?? AND THE NUMBERS ARE WRITTEN IN THE
FOLLOWING ORDER FRACTION PERCENT DECIMAL x
X Y X Y S D S D ?? ???
YES
YES
X Y S D S D p NO
S D
S D
0!'%3 n
4HINK AND $ISCUSS
0OSSIBLE ANSWER ?? ?? ?? ?? ??
0OSSIBLE ANSWER &IND AND MULTIPLY THAT BY 4HEN ADD ?? OF THE S D ?? S D
0OSSIBLE ANSWER FINDING SCORES FOR A TEST THAT HAS A
TOTAL OF POINTS POSSIBLE
???
A ????
???
B 0OSSIBLE ANSWER 4HE COMBINED TOTAL 53 LAND
AREA OF !LASKA AND 4EXAS IS THE SUM OF THE AREAS
)N PERCENTAGES THIS IS THE SUM OF THE PERCENTS
!LASKA AND 4EXAS MAKE UP NEARLY ?? OF THE TOTAL
LAND AREA IN THE 5NITED 3TATES
%XERCISES
OF y y y y 0OSSIBLE ANSWER 4HE STUDENT USED INSTEAD OF
OR
7RITTEN AS A RATIO IS ??????
OUT OF EVERY OF y y y y 0OSSIBLE ANSWER &IRST
WRITE
ALL THE NUMBERS IN THE
?
?
?
?
SAME FORM AND 4HEN
? COMPARE AND ORDER THE PERCENTS &INALLY WRITE THE NUMBERS IN THEIR ORIGINAL
FORM IN THE SAME ORDER ??
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
2ED 0URPLE "LUE 9ELLOW (OLT -C$OUGAL -ATHEMATICS
OF y y y ?
?
OF ?? ??
y ?? y ?? y ?? OF ?? ??
y ?? y ?? y
OF y y y y OF y y y OF y y y ?? OF ?? ??
y ?? y ?? y ?? OF ?? ??
y ?? y ?? y OF y y y 9ES 0OSSIBLE ANSWER OF IS ABOUT
WHICH IS CLOSE TO OF y y y " OF y OF y # OF y OF y " OF y ?? y " OF y ?? y 4OTAL TAX AND TIP y y y y .O 0OSSIBLE ANSWER OF IS A LITTLE MORE
THAN OF OF IS IS
MUCH LESS THEN # OF y y OF y y y y # OF y y OF y y OF y y OF y y y y OF y y OF y y OF y y OF y y ?? OF y ?? y OF y y OF y y y
OF y y OF y ?? y OF y ?? y y CARS
OF y y y
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
y y y y (OLT -C$OUGAL -ATHEMATICS
???
N N ????
?? ??
OF y y OF y y %XERCISES
y y y y ABOUT HOURS
y A .O 0OSSIBLE ANSWER OF IS
APPROXIMATELY WHICH ISNT CLOSE TO
2HODE )SLAND IS APPROXIMATELY THE AREA OF !LASKA
B 9ES 0OSSIBLE ANSWER OF IS ABOUT
WHICH IS CLOSE TO P P ???
P y P y P P ?????
P y P y P P ????
?
?
P
P P P P ????
P y P y C )N !LASKA THERE ARE APPROXIMATELY PERSON
PER SQUARE MILE )N 2HODE )SLAND THERE ARE
APPROXIMATELY PERSONS PER SQUARE MILE
0OSSIBLE ANSWER %STIMATE THE EQUATORIAL
CIRCUMFERENCE OF THE MOON !NSWER y KM
*AMIE ATE OF THE PIZZA
MILES
"AILEY WALKED MILES
4O FIND MOVE THE DECIMAL POINT IN THE NUMBER
TWO PLACES LEFT S ABOUT D 4O FIND MOVE THE
DECIMAL POINT IN THE NUMBER PLACE S ABOUT D
IS THE SAME AS THE ORIGINAL NUMBER S D
0OSSIBLE ANSWER OF IS ABOUT ?? OF OR
)T IS ALSO TWICE OF OR ABOUT PAGES
-ADISONS PAPER IS PAGES LONG
P P ???????????
P y P y OF !MERICA WATCHED #3) THIS WEEK
" IS ABOUT IS ABOUT y & OF y y P P ????
P
P " OF y y S D S D P P ?????
P P S D S D S D ???
???
????
?? ???
???
????
P P ????
P y P y P ???
P P P ?? ?? ??
?? ??
4ODD DRANK ?? OF THE CASE
,ET X REPRESENT THE HEIGHT OF THE 3PACE .EEDLE
X X ?????
X X y 4HE HEIGHT OF THE 3PACE .EEDLE IS ABOUT FEET
0!'%3 n
4HINK AND $ISCUSS
BECAUSE AND
IS LESS THAN ????
????
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
?? (OLT -C$OUGAL -ATHEMATICS
,ET % REPRESENT THE ELEVATION OF THE /UACHITA 2IVER
AREA
% % % ?????
% y 4HE /UACHITA 2IVER AREA IS ABOUT FEET ABOVE SEA
LEVEL
?? OF ?? ?? OF y OF ?? OF OF ?? OF ?? A 0OSSIBLE SOLUTION
IS OF OR IS OF IS OF B 0OSSIBLE SOLUTION
IS OF OR IS OF IS OF C 0OSSIBLE SOLUTION
IS OF OR IS OF IS OF 0OSSIBLE ANSWER 7HEN THE PERCENT IS HALVED AND
THE OTHER NUMBER IS HALVED THE ANSWER IS REDUCED
BY A FACTOR OF 0OSSIBLE ANSWER 7HEN THE PERCENT IS HALVED AND
THE OTHER NUMBER IS TRIPLED THE ANSWER INCREASES BY
A FACTOR OF ?? OR OF q OF THE LARGEST 53 CITIES WERE LOCATED IN
4EXAS IN P P ??????
P y P y 4HE /KEFENOKEE 3WAMP IS ABOUT PERCENT OF
'EORGIAS TOTAL AREA
A 4HERE ARE LETTERS IN THE (AWAIIAN ALPHABET
!%()+,-./057{
&IVE ARE VOWELS !%)/5
P y P ???
!BOUT OF THE LETTERS IN THE (AWAIIAN
ALPHABET ARE VOWELS
B 4HERE ARE LETTERS IN THE %NGLISH ALPHABET
4WELVE LETTERS OF THE (AWAIIAN ALPHABET ARE ALSO
IN THE %NGLISH ALPHABET
P y y P ???
!BOUT OF LETTERS IN THE %NGLISH ALPHABET
ARE ALSO IN THE (AWAIIAN ALPHABET
A 0OSSIBLE SOLUTION
IS OF OR OF IS OF B 0OSSIBLE SOLUTION
IS OF OR OF IS OF C 0OSSIBLE SOLUTION
IS OF OR OF IS OF 4OTAL COST *OSEPH !NA ?? ,ENA 'EORGE 4HE ORDER FROM LEAST TO GREATEST IS ,ENA !NA *OSEPH 'EORGE # P P ???????
P y P y A 0OSSIBLE SOLUTION
IS OF OR S D OF IS OF B 0OSSIBLE SOLUTION
IS OF OR S D OF IS OF C 0OSSIBLE SOLUTION
IS OF OR S D OF IS OF 0OSSIBLE ANSWER 4HIS ANSWER IS NOT REASONABLE
BECAUSE OF MUST BE GREATER THAN 4HE
CORRECT ANSWER IS 0OSSIBLE ANSWER 7HEN THE PERCENT IS DOUBLED AND
THE OTHER NUMBER IS HALVED THE ANSWER STAYS THE
SAME #OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
FT IN IN
YD FT IN
P P ????
P P IN IN IN
IN FT IN
-OLLY REMOVED FT IN REMAIN
(OLT -C$OUGAL -ATHEMATICS
%XERCISES
' P P ???
P P OF HOURS
MINUTES y MINUTES y MINUTES
?X? ???
X ???
????
X ???
???
X X ??
???
X
?B?
???
B
???
????
???
B
???
B
???
B
???
B
?B? ???
B
???
????
B ???
???
B B
??? ???
B ??? ??
X
X X ???
????
X
?? ???
Y
Y
Y
Y
????
????
Y
N N N ????
N OF IS ??
???
C
C C ????
????
C Y
???
???
0!'%3 n
4HINK AND $ISCUSS
0OSSIBLE ANSWER )N THE FIRST CASE YOU DIVIDE THE
KNOWN NUMBER BY THE DECIMAL EQUIVALENT OF THE
PERCENT )N THE SECOND CASE YOU DIVIDE THE FIRST
NUMBER BY THE SECOND AND WRITE THE ANSWER AS A
PERCENT
N N N ????
N OF IS ?? N
?? N
?? N
N
????
N
IS ?? OF N
N
N
????
N
IS OF N N N N ??????
N
N ????
N y N OF
IS OF IS Y
???
?????
Y
???
???
Y
OF y y ?? N
?? N
?? N
N
????
N
IS ?? OF N N N ?????
N 4HE ACTUAL HEIGHT OF THE POLE IS FEET
C
C
C
C
????
????
C
OF y y OF y OZ
OUNCES
?? ???
OF y y ?? N
N
N
?????
N
IS ?? OF ?? N N N ?????
N )SAAC HAD BASEBALL CARDS IN HIS TOTAL COLLECTION
BEFORE HE SOLD ANY CARDS
3IDEWALL HEIGHT H H S D
H 4HE TIRES SIDEWALL HEIGHT IS MILLIMETERS
0OSSIBLE ANSWER 4HE NUMBER IS GREATER THAN BECAUSE IS A SMALL PART S D OF A LARGER
WHOLE S THE NUMBER D
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
(OLT -C$OUGAL -ATHEMATICS
A OF IS OF IS OF IS B OF IS OF IS OF IS C OF IS OF IS OF IS A P P ???????????
P y P y B P P ???????????
P y P y C P P ???????????
P y P y D P P ???????????
P y P y A OF IS OF IS OF IS B OF IS OF IS OF IS C OF IS OF IS OF IS A OF IS OF IS OF IS B OF IS OF IS OF IS OF y 'UESS AND TEST 3TART WITH COMMON FRACTIONS !DD
TO THE NUMERATOR IF THE PERCENT IS TOO LOW OR TO THE
DENOMINATOR IF THE PERCENT IS TOO HIGH
?? y TOO LOW
?? y TOO HIGH
?? y TOO LOW
?? y TOO HIGH
?? y TOO LOW
?? y TOO HIGH
?? y ?? ROUNDS TO WITH THE LEAST DENOMINATOR
# PERCENT OF BOYS IN THE
CLASS
N N N ????
N 4HERE ARE STUDENTS IN THE CLASS
STUDENTS BOYS GIRLS
C OF IS OF IS OF IS (AMBURGERS
P P ????
(OT $OGS
P y P ????
N N N ?????????
N y 4HE POPULATION OF !USTIN TO THE NEAREST THOUSAND
PEOPLE IS P P ??????????
P y P y !PPROXIMATELY OF .EW 9ORKS POPULATION IS
MALE
P P ???????????
P y P y !PPROXIMATELY OF THE ENTIRE COUNTRY IS .EW 9ORK
N N N ????
N ^
AND SO q IS BETWEEN AND ^
AND SO q IS BETWEEN AND ^
AND SO q IS BETWEEN AND ^
AND SO q IS BETWEEN AND ^
AND SO q IS BETWEEN AND ^
AND SO q IS BETWEEN AND #OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
(OLT -C$OUGAL -ATHEMATICS
^
AND SO q IS BETWEEN AND OF y y ^
AND SO q IS BETWEEN AND ^
AND SO q IS BETWEEN AND AND SO
AND ?? ^
qIS
BETWEEN
N N N N N N N ???
N ???
N N N N ????????? y OF #ANADA IS WATER
?? ?? 2%!$9 4/ '/ /. 0!'% ?? ?
?
?? ?? ?? ?
?
?? ?? ?? ?? ?
?? ?? ?
?? ??
N
N
N
????
N
N
N
N
?????
N
N
N
??????
N
N
?? N
N ????
N
???
????
N
????
????
N
?? ??
MOLECULES OXYGEN ?? N N N ??????
N y FTS
0!'%3 n
OF y y OF #OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
y OF .O 0OSSIBLE ANSWER OF IS ABOUT WHICH IS MUCH GREATER THAN ?
???
?? ?? OF y ??
y ?? OF 4HINK AND $ISCUSS
)T IS POSSIBLE TO HAVE A INCREASE EG FROM
TO )T IS USUALLY NOT POSSIBLE TO HAVE A DECREASE BECAUSE A DECREASE WOULD RESULT
IN AND ANY DECREASE BEYOND THAT WOULD REQUIRE
NEGATIVE NUMBERS
?? OF ?? y ??
y ?? 4HE AMOUNT AFTER A INCREASE IS THE SAME AS
OF THE ORIGINAL NUMBER
(OLT -C$OUGAL -ATHEMATICS
%XERCISES
)NCREASE y 0ERCENT ???
INCREASE
$ECREASE y 0ERCENT ???
DECREASE
)NCREASE 0ERCENT ???
INCREASE
)NCREASE y 0ERCENT ????
4HERE IS APPROXIMATELY A POPULATION INCREASE
!MOUNT DISCOUNTED
OF #USTOMER PRICE 4HE CUSTOMER PRICE IS )NCREASE y 0ERCENT ????
INCREASE
$ECREASE y 0ERCENT ????
DECREASE
$ECREASE y 0ERCENT ???
DECREASE
$ECREASE y 0ERCENT ????
4HERE IS APPROXIMATELY AN DECREASE IN
TEMPERATURE
-ARKUP OF 3ALE PRICE -R 7OODRUFF WOULD CHARGE FOR THE ROTOR
$ECREASE ????? y 0ERCENT DECREASE
)NCREASE y 0ERCENT ???
INCREASE
$ECREASE y 0ERCENT ????
DECREASE
$ECREASE y 0ERCENT ????
DECREASE
$ECREASE y 0ERCENT ????
DECREASE
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
)NCREASE 0ERCENT ?????
INCREASE
OF NEW PRICE OF NEW AMOUNT ,ET 0 BE THE ORIGINAL PRICE
0 0 0 0 ????
0 /RIGINALLY ,ET 0 BE THE ORIGINAL PRICE
0 0 0 0 ?????
0 y /RIGINALLY )NCREASE 0ERCENT ???
INCREASE
$ECREASE 0ERCENT ???
DECREASE
A $ECREASE DECREASE
B 3ALE PRICE 4HE SALE PRICE OF THE BOOTS IS C $ECREASE ?? ?? 4HE NEW SALE PRICE IS D $ECREASE 0ERCENT ????
DECREASE
%LEVATION DECREASE
OF FT FT y FT
%LEVATION AFTER ERUPTION FT FT FT
!FTER THE ERUPTION -OUNT 3T (ELENS ELEVATION WAS
APPROXIMATELY FEET
)NCREASE 0ERCENT ????? INCREASE IN PRICE BETWEEN THE PAPERBACK
VERSION AND THE SIGNED HARDCOVER VERSION
OF OF -ARCUS WILL PAY FOR THE DISCOUNTED GAME
CONSOLE
(OLT -C$OUGAL -ATHEMATICS
0ERCENT DECREASE
$ECREASE 0ERCENT ?????? y DECREASE
3OLVE X X TOTAL COST
0OSSIBLE ANSWER .O THE AMOUNT OF CHANGE IS THE
SAME BUT THE ORIGINAL AMOUNTS ARE DIFFERENT 3O THE
RESULTING PERCENTS ARE DIFFERENT 4HE PERCENT
BUT THE PERCENT DECREASE IS
INCREASE IS ???
?? ???
# OF 2EDUCED PRICE OF &INAL PRICE 5SUALLY THE SALES TAX WOULD BE DOUBLE )F THE TAX
RATE IS THE TAX ON WOULD BE AND THE
TAX ON WOULD BE (OWEVER IF THE TAX
RATE IS THE TAX ON WOULD BE AFTER
ROUNDING TO THE NEAREST CENT AND TAX ON WOULD
BE NOT QUITE DOUBLE BECAUSE OF ROUNDING
%XERCISES
0OSSIBLE ANSWER )N BOTH CASES THE AMOUNT OF
WHICH
CHANGE IS 4HE PERCENT OF INCREASE IS ???
REDUCES TO ?? OR ?? 4HE PERCENT DECREASE IS
WHICH REDUCES TO ?? OR ????
,ET 0 BE THE ORIGINAL PRICE AND ) THE PERCENT
INCREASE
0RICE AFTER DISCOUNT 0 0 0 0 0 S D 0
.OW FIND THE PERCENT INCREASE TO RESTORE THE ORIGINAL
PRICE 0
0 0 0
INCREASE
0 ???
?? ????????????????
????
PRICE AFTER DISCOUNT 0 4HE SALE PRICE MUST BE INCREASED BY TO RESTORE
THE ORIGINAL PRICE
& $ECREASE y 0ERCENT ????
3AVINGS OF 0RICE AFTER DISCOUNT 4AX OF 0RICE WITH TAX 4HOMAS WILL SAVE ON THE PUZZLES (IS TOTAL
COST WILL BE C
C
C
4OTAL PRICE 3ALES TAX S D y 4HE TOTAL SALES TAX IS N ????????
????
N S D S D
N N ??????? y !BOUT OF .ADIAS INCOME WENT TO FOOD
S
S
?????
S
4HE PRICE OF THE CAMERA WAS C
C
C
+AYLAS TOTAL PAY WAS 4OTAL PRICE 3ALES TAX y 4HE TOTAL SALES TAX IS N ?????
????
N S D S D
N N ????? y !BOUT OF *ADAS INCOME WENT TO ELECTRICITY
! SQUARE HAS EQUAL SIDES CM
%ACH SIDE WILL BE CM
P P ????
P S
S
????
S
&OR (EATHER TO EARN HER WEEKLY SALES HAVE TO
BE OF OF T
T
T
4HE SALES TAX IS 0!'%3 n
4HINK AND $ISCUSS
"OTH ARE BASED ON PERCENTS OF THE PRICE
9ES 4HE PRICE PLUS IS THE SAME AS OF THE
PRICE
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
(OLT -C$OUGAL -ATHEMATICS
T
T
T
4HE SALES TAX IS -AXIMUM TAX IN THE TAX BRACKET S D -AXIMUM TAX IN THE TAX BRACKET S D #HARLENA FALLS IN THE TAX BRACKET ,ET ) BE THE
TAXABLE INCOME
S ) D S ) D S ) D ) ) ) #HARLENAS TAXABLE INCOME WAS T
T
T
4HE SALES TAX IS S
S
?????
S
4HE TOTAL SALES IS S D C
C
C
'ABRIELLES WEEKLY PAY WAS S
?????
S
S
4HE TOTAL SALES IS TAX S D y 4OTAL COST 4O THE NEAREST DOLLAR 2AFAELS TOTAL COST WAS 2ENT &OOD 5TILITIES 2EMAINDER S D %NTERTAINMENT CLOTHES TRANSPORTATION SAVINGS AND
CHARITY 2ENT FOOD UTILITIES %NTERTAINMENT CLOTHES TRANSPORTATION SAVINGS AND
CHARITY EACH
S D S D S D S D $EBORAH HAS THE POTENTIAL TO MAKE MORE MONEY IF
SHE CHOOSES THE PLUS OF SALES OPTION
3HE WILL MAKE BETWEEN AND A MONTH
y H
(OURLY RATE ??????
&EDERAL INCOME TAX S D /THER FEDERAL TAXES S D y .ET 0AY A 4AXABLE INCOME B 4AX BASE TAX TAX RATE S AMOUNT OVER D
S D
S D
!NNA OWED IN TAXES
C ??????? y 4HE TAX REPRESENTED OF !NNAS TOTAL
INCOME
D ?????? y 4HE TAX REPRESENTED OF !NNAS TAXABLE
INCOME
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
YES
?? ??
??????
??
???
?? ???
NO
?? ??
??
???
??????
?? o ??
YES
???
???
???
???
??????
???
???
NO
???
???
????
?? ??
DECREASE
o ???
??
y ??????
DECREASE
0!'%3 n
4HINK AND $ISCUSS
L S INTEREST D SIMPLE INTEREST EARNED 0 S PRINCIPAL D
AMOUNT OF MONEY INVESTED OR BORROWED R S RATE D
PERCENT EARNED OR CHARGED T S TIME D NUMBER OF
YEARS THE MONEY IS BORROWED OR INVESTED
(OLT -C$OUGAL -ATHEMATICS
3INCE T IS ALWAYS WRITTEN IN YEARS T OR ??
L AND 0
)NTEREST )0RT
R R
?????????
R
R
4HE INTEREST RATE IS 4HE INTEREST ON AT FOR YEAR IS 4HE INTEREST ON THE SAME AMOUNT AT FOR
YEARS IS %XERCISES
) 0 R T
) ) y 4HE INTEREST DUE IS !0)
! .ICK WILL HAVE TO REPAY )0RT
T
T
T
????
T
YEARS
) 0 R T
) ) !0)
! 0AIGE WILL HAVE )NTEREST )0RT
R R
???????
R
R
4HE SIMPLE INTEREST RATE IS ) 0 R T
) ) !0)
! "ILLY WOULD OWE )0RT
T
T
???????? T
T
4HE MONEY MUST BE IN THE FUND YEARS
) 0 R T
) ) !0)
! -R !LLEN WILL RETURN TO *ESSIKA
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT ) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT ) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT ) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT ) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT ) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT ) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT (OLT -C$OUGAL -ATHEMATICS
0OSSIBLE ANSWER (OW LONG DID !LICE KEEP HER
MONEY IN THE SAVINGS ACCOUNT
) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT 0OSSIBLE ANSWER 4HE YEAR LOAN WOULD COST THE
BORROWER LESS S COMPARED WITH D 4HE
INTEREST SAVED WOULD BE 0OSSIBLE ANSWER 4HE PAYMENTS ARE EQUAL &OR
EXAMPLE THE INTEREST ON A LOAN FOR YEARS
AT IS 4HE INTEREST ON
THE SAME LOAN WITH A MONTHLY RATE OF IS
) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT " ) 0 R T
) ) )0RT
T
T
?????
T
T
3HE BORROWED THE MONEY FOR YEARS
4HE QUESTION CANNOT BE ANSWERED WITHOUT KNOWING
HOW LONG EACH PERSON HAD THE MONEY IN THEIR
ACCOUNT
A /PTION ! TOTAL AMOUNT ! 0 )
4HE 3MITHS WOULD PAY UNDER LOAN
OPTION !
/PTION " TOTAL AMOUNT ! 0 )
4HE 3MITHS WOULD PAY 4HE 3MITHS WOULD PAY UNDER LOAN OPTION
"
B /PTION ! INTEREST RATE ) 0 R T
R R
?????????
R
R
4HE INTEREST RATE FOR LOAN OPTION ! WOULD BE /PTION " INTEREST RATE ) 0 R T
R R
???????
R
R
4HE INTEREST RATE FOR LOAN OPTION " WOULD BE C /PTION ! MONTHLY PAYMENT
YR MO
?????????
y 4HE MONTHLY PAYMENT UNDER LOAN OPTION ! WOULD
BE /PTION " MONTHLY PAYMENT
YR MO
??????
y 4HE MONTHLY PAYMENT UNDER LOAN OPTION " WOULD
BE D 4HE 3MITHS WILL SAVE BY CHOOSING LOAN
OPTION "
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
MM M
' ) 0 R T
R R
R
?????
R
R
GAL QT
PT GAL
N N N ????
N N
N
N
????
N
2%!$9 4/ '/ /. 0!'% ???
INCREASE
???
INCREASE
y ????
DECREASE
y ???
DECREASE
y ????
(E WOULD CHARGE 4HE SALES PRICE IS (OLT -C$OUGAL -ATHEMATICS
??
?????
C
C
4OTAL PAY ) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT ) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT ) 0 R T
) ) !0)
! )NTEREST 4OTAL !MOUNT ) 0 R T
) ) !0)
! ) )0RT
R R
??????
R
R
R
)0RT
T
T
T
????
T
YEARS OR MONTHS
345$9 '5)$% 2%6)%7 0!'%3 n
PERCENT
COMMISSION
???
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
PERCENT CHANGE
???
???
y y y OF IS ABOUT y y y OF IS ABOUT ?? y y y ?
? OF IS ABOUT y y y OF IS ABOUT y y y A TIP OF IS ABOUT y y A TIP OF IS ABOUT ???
X
????
X
X
X
N ????
????
N N N ??????
N y N y OF THE LENGTH OF -ARS YEAR IS 6ENUSS YEAR
????
N N N
?????
???????
N
N y N y FT
4HE 'OLDEN 'ATE "RIDGE IS ABOUT FEET LONG
???
????
X
X X X ????
?????
X ??????
????
N
N N ?????????
N y N y MILES
4HE DIAMETER OF THE %ARTH AT ITS EQUATOR IS ABOUT
MILES
(OLT -C$OUGAL -ATHEMATICS
?? ??
LB OZ OZ
X
?? ????
X X OZ
OZ LB OZ
:OES BIRTH WEIGHT WAS ABOUT LB OZ
#(!04%2 4%34 0!'% $ECREASE 0ERCENT ???
4HE SKIRT DECREASED IN PRICE
$ECREASE y 0ERCENT ????
!RNIE DECREASED HIS BODY WEIGHT BY )0RT
R R
R
??????
R
R
)0RT
T
T
????????
T
YR T
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
???
???
OF y OF OF y OF AT FOR YEARS ) AT FOR YEARS ) 4HE LOAN OF AT FOR YEARS WOULD COST
THE BORROWER LESS
) 0 R T
) ) 4OTAL 7ADE PAID BACK A TOTAL OF ???
OF y ?? y ?? OF OF y OF ) 0 R T
) ) ???
OF y y OF ?? y ,UISA PAID IN TAX
OF y y OF ?? +ENSHOS COMMISSION FOR THE QUARTER IS )0RT
0 0 0
????
0
???
?? ???
?
?? ?
?? ?
?
?? ??
)NCREASED BILLION BILLION BILLION
0ERCENT ????? 4HERE WAS A INCREASE IN THE 53 PUBLIC
DEBT
??
A TIP ON A BILL
y A TIP ON A BILL
y y OF (OLT -C$OUGAL -ATHEMATICS
A TIP ON A BILL
y y ???
????
?????
???
OF STATE NAMES BEGIN WITH EITHER - OR .
N
N
?????
N
?? N
N
????
N
N
N
????
N
N
N
????
N
H
H
????
FT H
$ECREASE 0ERCENT ????
DECREASE
)NCREASE 0ERCENT ???
INCREASE
$ECREASE 0ERCENT ????
DECREASE
$ECREASE y 0ERCENT ????
ROUNDS TO DECREASE
)NCREASE 0ERCENT ???
INCREASE
)NCREASE y 0ERCENT ???
INCREASE
C
C
COMMISSION S
y S
SALES TAX C
C
COMMISSION C TOTAL PAY -S 4ANS TOTAL PAY FOR THE WEEK IS C TOTAL PAY 'EORGES TOTAL PAY IS )0RT
T
T
?????
T
T
3HE BORROWED THE MONEY FOR YEARS
)0RT
R R
?????
R
R
4HE ANNUAL SIMPLE INTEREST RATE THE BANK OFFERS
IS $ECREASE y 0ERCENT ????
DECREASE
)NCREASE y 0ERCENT ???
INCREASE
)NCREASE 0ERCENT ???
INCREASE
#OPYRIGHT © BY (OLT -C$OUGAL
!LL RIGHTS RESERVED
(OLT -C$OUGAL -ATHEMATICS