Question

A total of 491 tickets were sold for the school play. They were either adult tickets or student tickets. There

were 60 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answer 1

Adult tickets = 276

Explanation:

a + s = 491 Eq. 1

a = s + 61 Eq. 2

a = adult tickets

s = student ticket

Replacing Eq. 2 in Eq. 1:

(s+61) + s = 491

2s + 61 = 491

2s = 491 - 61

2s = 430

s = 430/2

s = 215

from the Eq. 2

a = s + 61

a = 215 + 61

a = 276

Check:

from Eq. 1:

a + s = 491

276 + 215 = 491