Some friends have organised a day out at the zoo with their families.
The Zoo charges different prices for adult and child tickets.
The cost for a group of 5 adults and 2 children is £144.
The cost for a group of 2 adults and 4 children is £96.
Work out the price of one adult ticket and one child ticket.
Answer:
Let a = adult price and c = child price
5a + 2c = 144
2a + 4c = 96
Simplify the second equation: a + 2c = 48
Subtract: (5a+2c) – (a+2c) = 144-48
4a = 96
A =24
Substitute: 24 + 2c = 48
2c = 24
C =12
Adult: £24 Child: £12