The Walker family and the Goodman family are going to the cinema. The Walkers pay £22 for 2 adult tickets and 1 child ticket. The Goodmans pay £26 for 1 adult ticket and 3 child tickets. How much does a child's ticket cost?

Question

Mathematics

Leilani Peters

14 November, 04:59

The Walker family and the Goodman family are going to the cinema. The Walkers pay £22 for 2 adult tickets and 1 child ticket. The Goodmans pay £26 for 1 adult ticket and 3 child tickets. How much does a child's ticket cost?

+5

Answers (1)

Know the Answer?

Morgan Nguyen · Answer 1

X = adult, y = child

2x + y = 22 (1)

x + 3y = 26 (2)

(2) * - 2 = - 2x - 6y = - 52 (3)

(1) + (3) = the 2x and - 2x cancel out leaving - 6y+y = - 5y and - 52+22 = - 30

-5y = - 30

y = 6

Childs ticket is 6 pounds