Question

Two families at the 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 and adult ticket and the cost of a child ticket.

Answer 1

adult ticket £17

child ticket £9

Explanation:

Let the cost of an adult ticket be X and child ticket be Y

make two simultaneous equations

2X+3Y=61

3X+5Y=96

solve for each variable by either substitution or elimination method

2X+3Y=61

X=(61-3Y)/2

3[(61-3Y)/2]+5Y=96

(183-9Y)/2 + 5Y=96

183-9Y+10Y=192

Y=9

X=(61-3(9))/2

X=17