A farmer sells 9.5 kilograms of pears and apples at the farmer's market.

1
4
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

If 1/4 of the weight is pears, then 3/4 of the weight is apples (since the total weight is divided into four equal parts).

So, the weight of the apples sold is:

3/4 x 9.5 kg = 7.125 kg

Therefore, she sold 7.125 kilograms of apples at the farmer's market.