Problema Solution

An office keeps a cashbox with $5 and $10 bills for small purchases. The cashbox has 25 bills in all. The total amount of money in the cashbox is $165. How many $5 bills are in the box?

Answer provided by our tutors

let


x = the number of $5 bills


y = the number of $10 bills


The cashbox has 25 bills in all:


x + y = 25


The total amount of money in the cashbox is $165:


5x + 10y = 165


by solving the system of equations:


x + y = 25


5x + 10y = 165


we find:


x = 17 bills of $5


y = 8 bills of $10


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there are 17 $5 bills in the box.