Write and solve a system of equations to represent the situation.

Question

Neil has a total of twelve $5 and $10 bills in his wallet. He has 5 times as many $10 bills as $5 dollar bills. How many of each does he have?

Answer 1

F = No. of fives; T = No. of tens

If there are 5 times as many tens as fives, then T = 5F

The total no. of bills is 12, so F + T = 12.

Can substitute: F + 5F = 12 → 6F = 12 → F = 12/6 = 2.

So there are 2 fives

T = 5(2) = 10 tens