Question

Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations using elimination to find out how many of each kind of bill she has.

Answer 1

10 one-dollar and 4 five-dollar bills.

Explanation:

Let x = the number of one-dollar bills and y = number of five-dollar bills.

Then:

x + y = 14

x + 5y = 30 (using the values of the bills)

Subtracting the 2 equations:-

-4y = -16

y = 4

so x + 4 = 14

x = 10.

There are 10 one-dollar bills and 4 five-dollar bills.