Question

5. Sean has 56 bills in his pockets. The bills are only fives and tens.

If the value of the bills adds up to $495, how many of each bill does
he have?

Answer 1

He have 43 bills of 10 and 13 bills of 5

Explanation:

5x + 10y = 495

x + y = 56

Isolate x:

x = 56 - y

Substitute in the first equation:

5(56 - y) +10y = 495

280 -5y +10 y = 495

5y = 495 -280

5y = 215

y = 215/5

y= 43

Now substitute the value of y to find x:

x = 56 - y

x = 56 - 43

x = 13