Question

Jeremy cashed his weekly paycheck at the bank and asked for the money in $5

and $10 bills. The bank teller gave him 24 bills worth $170. How many $5 bills did
the bank teller give him? Type in the number only.

Answer 1

14

Explanation:

We can find the number of five-dollar bills creating a system of equations, where F represents the number of five-dollar bills and T represents the number of ten-dollar bills.

Thus, we have 5F + 10T = 170 and F + T = 24.

We can use substitution in the second equation first to find T then finally F.

`5F + 10T = 170\\F + T = 24\\\\F = 24-T\\\\5(24-T)+10T = 170\\120-5T+10T=170\\120+5T=170\\5T=50\\T=10\\\\F+10=24\\F=14`