Question

The Town Theater receives $4212 by selling 465 tickets to

the opening night of the revue. If the full price of a ticket is $10.00
and discount tickets for students and seniors are $8.00 each, how
many discounted senior/student tickets were sold?

Answer 1

219

Explanation:

let x be the number of full price tickets and y be student/ senior number , then

x + y = 465 → (1)

10x + 8y = 4212 → (2)

Multiplying (1) by - 10 and adding to (2) will eliminate x

- 10x - 10y = - 4650 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = -438

- 2y = - 438 ( divide both sides by - 2 )

y = 219

The number of senior/ student tickets sold was 219