Bobby put 1/3 of his lawn mowing money into his savings and uses the remaining 2/5 to buy a video game. If he has $12 left, how much did he have at first?

Given:

Bobby put 1/3 of his lawn mowing money into his savings

He uses the remaining 2/5 to buy a video game.

He has $12 left.

To find:

The amount did he have at first.

Solution:

Let x be the initial amount.

Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

He uses the remaining 2/5 to buy a video game. Then the remaining amount is

It is given that the remaining amount is $12.

Divide both sides by 2.

Therefore, Bobby have $30 at first.