Question

Jean and Fred are making apple crisp. The recipe calls for 8 apples to be peeled and cut into pieces. However, as Fred and Jean work, they eat pieces of apple. Fred eats 2/9 of each apple that he peels, and Jean eats 1/9 of each apple she peels. Assuming they each peel and cut four apples, how many apples will they have left over for the recipe after they peel eight apples?

Answer 1

`(20)/(3) = 6(2)/(3)` i.e. six and two-third apples will be left.

Explanation:

Fred eats
`(2)/(9)` of each apple that he peels and Jean eats
`(1)/(9)` of each apple that he peels.

So, if Fred peels 4 apples then he eats
`(4 * 2)/(9) = (8)/(9)` of one apple.

And, if Jean peels 4 apples then he eats
`(4 * 1)/(9) = (4)/(9)` of one apple.

Hence, total they peel (4 + 4) = 8 apples but they eat total
`((8)/(9) + (4)/(9)) = (12)/(9) = (4)/(3)` apples

Therefore, they will have left
`8 - (4)/(3) = (24 - 4)/(3) = (20)/(3) = 6(2)/(3)` {Since 20 = 6 × 3 + 2 } apples for the recipe after they peel eight apples. (Answer)