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A cash box of $1 and $5 bills is worth $45. The number of $1 bills is 3 more than the number of $5 bills. How many of each bill does it contain?

User Suzan
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2 Answers

2 votes

Answer:

$1: 10

$5: 7

Explanation:

To find out how many of each bill is in the cash box, create an expression

x = the dollar bills

This makes the $5 bills 5x and the $1 bills x (this can also be 1x)

When it says "The number of $1 bills is 3 more than the number of $5 bills" This means that the number of $1 is x + 3 and the number of $5 is 5x

When you put it together the expression will be x + 3 + 5x = 45

First add x and 5x, making it 6x

Next subtract 3 from each side, which makes the equation 6x = 42

Lastly, divide 6 from each side, this means that x = 7

To find out how many bills there are substitute 7 wherever there is an x

This mean that the number of $1 is 7 + 3 (10), and the number of $5 bills are 5x7 (35), but its just 7 because they are $5 each

User Guyd
by
4.9k points
5 votes

Answer:

There are 10 $1 bills and 7 $5 bills

Explanation:

7($5 bills) x 5

=35

7+3 (3 more $1 bills)

=10

10+35

=45