There are some fruits in a basket. 1/4 of the fruits are apples. The rest are oranges. There are six more oranges than apples. How many fruits are there?

Let x be the total number of fruits in the basket.

1/4x = number of apples
3/4x = number of oranges

Since there are 6 more oranges than apples:
3/4x = 1/4x + 6
2/4x = 6
x = 12

There are 12 fruits in total. 1/4 of them are apples, so there are 12 * 1/4 = 3 apples. The rest are oranges, so there are 12 - 3 = 9 oranges.