Question

Otto spent 3/4 of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he bought the game?

Answer 1

He have $64 before he bought the game.

Explanation:

Let x be the total money Otto has.

Since, he spent 3/4 of the money he had saved on a new video game

Thus, his spending in new video game =
`(3x)/(4)`

According to the question,

`(3x)/(4)=48`

`3x = 192`

`\implies x = 64`

Hence, he have $64 before he bought the game.

Answer 2

Answer: $64

Explanation:

Given: The part of money he spent =3/4

Let the total money Otto has be 'x'.

Then according to the question, we have

`(3)/(4)x=48`

Multiply 4 on both the sides, we get

`3x=48*4`

Divide 3 on both the sides, we get

`x=(48*4)/(3)\\\\\Rightarrow\ x=64`

Hence, the money he had before he bought the game = $64