Question

Two families go to the zoo

the smith family of two adults and three children pay £61
the jones family of three adults and five children pay £96
how much is one adult ticket and how much is one childrens ticket

Answer 1

The adult tickets cost £17.00 and child tickets cost £9.00

Explanation:

2a + 3c = 61

2a = 61 - 3c

a = 30.5 - 1.5c

3(30.5 - 1.5c) + 5c = 96

91.5 - 4.5c + 5c = 96

91.5 + 0.5c = 96

0.5c = 4.5

c = 9

a = 30.5 - 1.5c

a = 17

The adult tickets cost £17.00 and child tickets cost £9.00

Answer 2

So adult tickets cost £17.00 and child tickets cost £9.00

Explanation:

2a+3c=61

2a=61-3c

a=30.5-1.5c

...

3a+5c=96, using a found above we get:

3(30.5-1.5c)+5c=96

91.5-4.5c+5c=96

91.5+0.5c=96

0.5c=4.5

c=9, and since a=30.5-1.5c

a=17

So adult tickets cost £17.00 and child tickets cost £9.00