Question

Kyle spend 1/5 of his money on clothing. He had 120 remaining. What was the cost of the clothes Kyle bought

Answer 1

30 is the cost of clothes Kyle bought.

Explanation:

Given: Kyle spend 1/5 of his money on clothing.

Remaining money is 120.

Lets assume the total money Kyle had be "x".

∴ Money spent on clothes =
`(1)/(5)* x= (x)/(5)`

Now, putting up value in the equation to find the total amount of money.

We know, money remaining is 120

`x-(x)/(5) = 120`

Taking LCD subtract the fraction.

⇒
`((x* 5)- x* 1)/(5) = 120`

⇒
`(5x-x)/(5) = 120`

⇒
`(4x)/(5) = 120`

Multiplying 5 both side

⇒
`4x= 120* 5`

dividing 4 on both side.

∴
`x= (120* 5)/(4)`

∴ x= 150

Kyle has total 150 money to spend.

Kyle spent
`(1)/(5)` of his total money on clothing.

⇒ cost of clothes kyle bought=
`(1)/(5) * 150= 30`

Hence, Kyle spent 30, which was the cost of clothes kyle bought.