Question

A boy spent 20% of his money on books and 20% of the remainder on food.If he had $2000 left, how much money did he have at first?

Answer 1

2800

Explanation:

20%+20%=40%

40/100x2000=2800

Answer 2

`\$3,125`

Explanation:

Let
`s` represent the amount of money he initially started with.

After he spent 20% on books, he will have
`100\%-20\%=80\%` of his initial money left. We can represent this as
`0.8s`.

Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have
`100\%-20\%=80\%` of the remainder of money he had left after he purchased the books. Therefore, he ends up with
`0.8(0.8s)=0.64s` of his money left.

Since we're given that he had $2,000 after all these transactions, we have the following equation:

`0.64s=\$2,000`

Divide both sides by 0.64 to isolate and solve for
`s`:

`s=(2,000)/(0.64)=\boxed{\$3,125}`

Therefore, the boy had $3,125 to begin with.