Question

1 bag of oranges and 3 bags of apples cost $11. 2 bags of oranges and 4 bags of apples cost $16.

- what is the cost of 1 bag of apples

- what is the cost of 1 bag of oranges

Answer 1

A bag of apples cost $3.2 and orange $1.6

Let oranges be o and apples be a

• making equations:

1. o + 3a ↬ 11.2
2. 2o + 4a ↬ 16

making o the subject

• o = 11.2 - 3a

• o = (16-4a)/2

solve them simultaneously

11.2 - 3a = (16-4a)/2

2(11.2 - 3a) = 16 -4a

22.4 -6a = 16 -4a

2a = 6.4

a = 3.2

➜ Therefore a bag of apples cost $3.2

Find the cost of oranges:

o = 11.2 - 3a

o = 11.2 -3(3.2)

o = 1.6

➜ Therefore a bag of oranges cost $1.6