Question

Please help with this

Answer 1

Answer:

£17 and $9

Step-by-step explanation:

let adults be represented by a and children by c, then

2a + 3c = 61 → (1)

3a + 5c = 96 → (2)

Multiplying (1) by 3 and (2) by - 2 and adding will eliminate a

6a + 9c = 183 → (3)

- 6a - 10c = - 192 → (4)

Add (3 ) and (4) term by term

(6a - 6a) + (9c - 10c) = (183 - 192), that is

- c = - 9 ( multiply both sides by - 1 )

c = 9

Substitute c = 9 in either of the 2 equations for value of a

Substituting c = 9 in (1)

2a + 3(9) = 61

2a + 27 = 61 ( subtract 27 from both sides )

2a = 34 ( divide both sides by 2 )

a = 17

The cost of an adult ticket = £17 and a child's ticket = £9