Question

At a concert
3 adult and 4 child cost £23
1 adult and 5 child cost £15
Work out the cost of an adult ticket and the cost of a child ticket.

Answer 1

Answer:

adult = £5

child = £2

Step-by-step explanation:

a = adult c = child

3a + 4c = 23

1a + 5c = 15

multiply second equation by 3 and rewrite

3a + 4c = 23

3a + 15c = 45

subtract

0 - 11c = - 22

-11c = -22

11c = 22

c = £2

subsitute into one of the equations and solve for a

1a + 5c = 15

a + 5(2) = 15

a + 10 = 15

a = £5