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
