Question

Jay had 60 tickets he could turn in at the end of the year for extra-credit points he had earned during the year. Some tickets were worth two points and others were worth five points. If he was entitled to a total of 231 extra-credit points, how many two-point tickets did he have?​

Answer 1

23 2-points + 37 5-points = 231

Explanation:

Answer 2

53 two-point tickets.

Explanation:

This is a system of equations:

x + y = 60

2x + 5y = 231

Then..

-2x - 2y = -120

2x + 5y = 231

Then...

3y = 111

y=7

All you need to do now is plug it in:

x + 7 = 60

60-7 = x

x = 53