Two families go to a zoo. The Smith family of two adults and three children pay £61. The Jones family of three adults and five children pay £96. Work out the cost of an adult ticket and the cost of a child ticket. In your working, let 'a' stand for an adult ticket and 'c' stand for a child ticket.
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Answer:
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
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