A cinema sells adult tickets and child tickets. The total cost of 3 adult tickets and 1 child ticket is €30.
The total cost of 1 adult ticket and 3 child tickets is €22.
Work out the cost of an adult ticket and the cost of a child ticket

Adult ticket = £8.50

Child ticket = £4.50

Step-by-step explanation:

Let a = cost of adult ticket.

Let c = cost of child ticket.

3a + c = 30 (equation 1)

a + 3c = 22 (equation 2)

Multiple equation 1 by 3: 9a + 3c = 90

Subtract equation 2 from new equation 1: 8a = 68, so a = 8.5 (£8.50).

Use a = 8.5 in original equations.

(1) 25.5 + 4.5 = 30 (as c is now shown to be 4.5)

(2) 8.5 + 3(4.5) = 22

Adult ticket = £8.50

Child ticket = £4.50

€13

Step-by-step explanation:

Let A be adult and child be C

3A + 1C = €30 (equation 1 )

1A + 3C = €22 ( Equation 2 )

Equation 1 + equation 2

4A +4C = €52

1A + 1C = €52 ÷4

= €13

25.2

step-by-step explanation:

2+4x6-8/10= 25.2