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

`x=2y`

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

`y+2=x+0.5`

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

`y+2=2y+0.5\\ -y=-1.5\\ y=1.5`

Therefore, the basket contains 1.5 kilograms of grapes.