Question

Sara discarded 1/10 of the apples she picked as defective. Of the apples remaining 300 we're made into cider. The rest were sold as fresh fruit. What fraction of the total apples picked were sold as fresh fruit

Answer 1

The fraction of the total apples picked that were sold as fresh fruit is equal to 1 - (the fraction of apples discarded + the fraction of apples made into cider).

Since Sara discarded 1/10 of the apples, the fraction of apples discarded is 1/10.

Out of the remaining apples, 300 were made into cider. Let's find the fraction of apples that were made into cider:
300 apples / (total apples - apples discarded) = 300 / (9/10) = 300 * 10/9 = 3000/9 = 1000/3.

So the fraction of apples made into cider is 1000/3.

The fraction of apples sold as fresh fruit is 1 - (1/10 + 1000/3) = 1 - (3/30 + 1000/3) = 1 - (3/30 + 10000/30) = 1 - 10003/30 = 1 - 333.4333... = 1/3.

Therefore, 1/3 of the total apples picked were sold as fresh fruit.