Dhruv bought some white sugar and some brown sugar. He used an equal amount of white and brown sugar. He had 3/5 of the while sugar and 1/2 of the

Question

brown sugar left. What fraction of the sugar which Dhruv bought was used?

(1) 4/7

(2) 4/9

(3) 5/11

(4) 7/10

Answer 1

Let's assume that Dhruv initially bought 10 units of sugar (to keep the calculations simple).

Since he used an equal amount of white and brown sugar, he used 3/5 * 10 = 6 units of white sugar and 1/2 * 10 = 5 units of brown sugar.

Therefore, a total of 6 + 5 = 11 units of sugar were used.

Since Dhruv initially bought 10 units of sugar, the fraction of sugar used is 11/10 = 11/10 * 1/1 = 11/10.

But this fraction is greater than 1, which does not make sense. Therefore, our initial assumption of 10 units of sugar is incorrect.

Let's try a different assumption.

Let's assume Dhruv initially bought 15 units of sugar.

He used an equal amount of white and brown sugar, so he used 3/5 * 15 = 9 units of white sugar and 1/2 * 15 = 7.5 units of brown sugar.

Since we cannot have half units of sugar, let's assume Dhruv rounded down and used only 7 units of brown sugar.

Therefore, a total of 9 + 7 = 16 units of sugar were used.

Since Dhruv initially bought 15 units of sugar, the fraction of sugar used is 16/15.

This fraction cannot be simplified further, so the answer is (4) 16/15, which is not one of the given answer choices.

Therefore, none of the provided answer choices is correct.