Question

two families go to a zoo. the smith family of two adults and three chidren pays £61 the jones family of three adults and five children pay £96. work out the price of an adult and child ticket, let a stand for adults and c stand for child

Answer 1

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

Answer 2

Adult would be 17.00 and child would be 9.00