Question

A box had twice as many grapes as a basket. After 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. How many kilograms of grapes did the basket contain?

Answer 1

Let us suppose that the number of grapes in the box is x and the number of grapes in the basket is y.

It means that the weight of the grapes in the box is x kg and that of basket is y kg.

It has been given that the box had twice as many grapes as a basket. Therefore, we have

Now when we add 2 kg to the basket then the weight of the basket is y+2 and the weight of box will remain same.

Now, we have been given that after 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. Hence, we have

Substituting the value x=2y in the equation, we get

Therefore, the basket contains 1.5 kilograms of grapes.

Explanation:

Answer 2

1.5 kg

Explanation:

quantity of grapes in the basket = x

quantity of grapes in the box = 2x

2 kg is added to the basket.

After adding, quantity of grapes in the basket = x + 2

(x + 2) - 2x = 0.5 kg

x + 2 - 2x = 0.5

-x + 2 = 0.5

-x = 0.5 - 2

-x = -1.5

x = 1.5 kg

The basket contain 1.5 kg of grapes