A cashier has a total of 52 bills in her cash drawer. There are only $10 bills and $5 bills in her

A cashier has a total of 52 bills in her cash drawer. There are only $10 bills and $5 bills in her drawer. The value of the bills is $320. How many $10 bills are in the drawer?

Let f be the amount of $5 bills in her drawer. Let t be the amount of $10 bills in her drawer. We're given two equations:

1. f + t = 52
2. 5f + 10t = 320

We have a system of equations. We can solve this 3 ways below:

• Substitution Method
• Elimination Method
• Cramers Rule

No matter what method we choose, we get:
f = 40 and t = 12

So the answer for how many $10 bills are in the drawer is 12.

Let's check our work for equation 1:
40 + 12 ? 52
52 = 52 <-- Confirmed

Let's check our work for equation 2:
5(40) + 10(12) ? 320
200 + 120 ? 320
320 = 320 <-- Confirmed