Question

If 7 cartons of apple juice and 2 cartons of grapefruit juice cost £6.15 and 5 cartons of apple juice and 8 cartons of gratefruit juice cost £9.19
calculate the cost of 2 cartons of apple juice and 5 grapefruit juice

Using Algebraic calculation

Answer 1

7 a + 2 g = 6.15 ... multiplying by 4 ... 28 a + 8 g = 24.60

5 a + 8 g = 9.19

solve the system for a and g

subtract equations to eliminate g
... solve for a

substitute back to find g

Answer 2

x = 0.67

Answer 3

X = 0.64

Answer 4

the cost of 2 cartons of apple juice and 5 grapefruit juice is £4.99