Question

The cost of 12 oranges and 7 apples is 5.36.Eight oranges and 5 apples cost 3.68.find the cost of each

Answer 1

Each orange costs 0.26 and each apple costs 0.32.

Explanation:

12 oranges and 7 apples cost 5.36.

And the cost is 3.68 for 8 oranges and 5 apples.

If each orange costs x and each apple cost y then we have the equations

12x + 7y = 5.36 ..... (1) and

8x + 5y = 3.68 ........ (2)

Now, solving equations (1) and (2) we get,

15y - 14y = 3.68 × 3 - 5.36 × 2

⇒ y = 0.32

Now, from equation (2), we get 8x + 5 × 0.32 = 3.68

⇒ 8x = 2.08

⇒ x = 0.26

Therefore, each orange costs 0.26 and each apple costs 0.32. (Answer)