Question

a student has some $1 and $5 bills in his wallet. He has a total of 13 bills that are worth $33. How many of each type of bill does he have?

Answer 1

He has 6 $5 dollar bills and 3 $1 dollar bills

Answer 2

Answer: The number $1 bills is 8 and the number of $5 bills is 8.

Explanation:

Let x denotes $1 bills and y be denotes $5 bills.

Then , we have the following equations :-

`x+y=13-------(1)\\\\x+5y=33-------(2)`

Subtracting equation (1) from (2), we get

`4y=33-13=20\\\\\Rightarrow y=\frac{20}[4}=5`

Substitute y=5 in equation(1), we get

`x+5=13\\\\\Rightarrow\ x=13-5=8`

Hence, the number $1 bills is 8 and the number of $5 bills is 8.