Question

A total of 575 tickets were sold for the school play. They were either adult or student tickets. There were 75 more student tickets than adult tickets. How many adult tickets were sold?

Answer 1

There are 250 adult tickets.

There are 325 Student tickets.

Explanation:

Let a = the number of adult tickets

Let s = the number of student tickets

a + s = 575

a + 75 = s Substitute a + 75 for s in the first equation'

a + a + 75 = 575 Combine like terms

2a + 75 = 575 Subtract 75 from both sides

2a = 500 Divide both sides by 2

a = 250

There are 250 adult tickets.

Substitute 250 for a in the first equation

a + s = 575

250 + s = 575 Subtract 250 from both sides

s = 325

There are 325 Student tickets.