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?

Question

asked Feb 24, 2016 101k views

2 Answers

MisterAlvis · Answer 1 · 2016-02-29T21:43:31+0000

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.