WORD PROBLEM HOMEWORK SUPPLEMENT TO SEC. 2.7

Each of the following problems contains two unknowns. In each problem, you will represent one of the unknowns with a variable. Then, the other unknown will be described by an expression containing the same variable. Set up an equation to solve each problem, and solve for the requested information.

1)
A
cashier has a collection of 5 dollar bills and ten dollar bills, worth a total
of $105. If the cashier has three more
ten dollar bills than five dollar bills, find the number of each type of bill
present.

2)
A
money bag contains $265 in five dollar bills and twenty dollar bills. If there are 3 more five dollar bills than
twenty dollar bills, find the number of each type of bill in the bag.

3)
A
man has $350 in his wallet, in ten dollar bills and twenty dollar bills. If he has one more twenty dollar bill than
ten dollar bill, how many of each type of bill does he have?

4)
A
woman has a total of $100, in five dollar bills and ten dollar bills. If she
has a total of 14 bills, how many of each type does she have?

5)
A
cash box contains $455 in five dollar bills and ten dollar bills. If there are 58 bills present, how many of
each type are in the box?

6)
A
man borrows $375, and is given the money in 5 dollar bills and twenty dollar
bills. How many of each type of bill
was he given, if he received a total of 24 bills?

7)
A
safe deposit box contains $1000 in twenty dollar bills and 50 dollar
bills. If there are a total of 32 bills
in the box, how many of each type are present?

8)
A
woman is paid $500, in ten dollar bills and fifty dollar bills, for fixing a
computer. If there are fourteen more
tens than fifties, how many of each type of bill was she given?

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Answers

1)
5 $5 bills, 8 $10 bills

2)
13
$5 bills, 10 $20 bills

3)
11
$10 bills, 12 $20 bills

4)
8
$5 bills and 6 $10 bills

5)
25
$5 bills and 33 $10 bills

6)
7
$5 bills and 17 $20 bills

7)
20
$20 bills and 12 $50 bills

8)
20
$10 bills and 6 $50 bills