Question

The cost of 3 apples, 5 oranges and 2 grapefruit is £3.02. The cost of 5 apples, 7 oranges and 4 grapefruit is £5.12. What is the total cost of one of each type of fruit

Answer 1

Answer:

Total cost of one of each type of fruit = £1.05

Step-by-step explanation:

Let the cost of an apple, orange and grapefruit be x, y and z respectively.

Given,

3x + 5y + 2z = 3.02 ---(1)

5x + 7y + 4z = 5.12 ---(2)

Subtracting eq 1 from 2

5x + 7y + 4z = 5.12

3x + 5y + 2z = 3.02

2x + 2y + 2z = 2.10

2(x + y + z) = 2.10

x + y + z = 2.10/2 = 1.05