Question

A total of 444 tickets were sold for a school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answer 1

250 adult tickets were sold

Explanation:

Let A represent the number of adult tickets sold and S the number of student tickets sold

Total tickets sold = A + S = 444

56 fewer student tickets than adult tickets means
S = A - 56

Substituting for s in the first equation,

A + S = 444

A + (A - 56) = 444

2A - 56 = 444

Add 56 to both sides:
2A - 56 + 56 = 444 + 56

2A = 500

A = 250

So 250 adult tickets were sold