Math 11 Opener - 11/29/11
Learning Target: Systems Word Problems Continued...
Sally has $21.40 in dimes and quarters,
for a total of 100 coins. How many of
each kind of coin does Sally have?
Hint: Use the value of a dime and quarter
to set up your system.
1
KEY
individual song: $.99
album: $9.99
records:
tapes:
$5
$7
500 children
300 adults
Hamburger:
Hot Dog:
$1.50
$1.00
5s + 1a = 14.94
3s + 2a = 22.95
2r + 3t = 31
3r + 2t = 29
7a + 5c = 4600
a + c = 800
2h + 5d = 8
5h + 2d = 9.50
2
3n + 2b = 557
5n + 4b = 974
Hotel: $140.00
Pair of Baseball Tickets: $68.50
San Antonio: 4 days
Dallas: 3 days
275s + 400d = 2300
s + d = 7
Type A: 60
Type B: 24
6.50a + 8.25b = 588
a + b = 84
1180 dimes
22 quarters
.25q + .10d = 123.50
q + d = 1202
3
Notes:
Systems Word Problems Continued...
When setting up word problems for systems:
1) Identify your variables
2) Set up the equations sentence by sentence
Multiplication:
In a game show, Andrew earns 6 points for every
right answer and loses 12 points for every wrong
answer. He has answered correctly 12 times as many
as he has missed. His final score was 120. How many
times did he answer correctly? How many times did
he miss?
John works in landscaping. He gets paid $100 for
each house he pressure washes and $40 for each
lawn he mows. He gets 4 times more jobs for
mowing lawns than for pressure washing houses.
One month, John earned $5,200. How many houses
did he pressure wash? How many lawns did he
mow?
4
Addition
plus
increased by
greater than
more than
sum
Subtraction
minus
decreased by
less than
difference
Multiplication
times
twice (x2)
product
Setting Up Equations from Words:
The sum of two numbers is 126 and their difference
is 42. What are the two numbers?
The second of two numbers is 4 more than the first.
The sum of the numbers is 56. What are the
numbers?
The sum of two numbers is 75. The second number is 3
less than twice the first. What are the numbers?
The difference between two numbers is 16. Five
times the smaller is the same as 8 less than twice
the larger. What are the numbers?
5
Exit Ticket:
TURN THIS IN!
The number of calories in a piece of pie is
20 less than three times the number of
calories in a scoop of ice cream. The pie and
ice cream have 500 calories together. How
many calories are in the ice cream? How
many calories are in the pie?
6