Question

A total of 699 tickets were sold for the school play. They were either adult tickets or student tickets. There were 51 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answer 1

Sold:

adults: 375 tickets

student: 324 tickets

Explanation:

a + s = 699 Eq. 1

a = s + 51 Eq. 2

a = adult tickets sold

s = student tickets sold

Replacing Eq. 2 im Eq. 1

(s+51) + s = 699

2s + 51 = 699

2s = 699 - 51

2s = 648

s = 648/2

s = 324

From Eq. 2

a = 324 + 51

a = 375

Check:

From Eq. 1:

a + s = 699

375 + 324 = 699