Question

Roman has a certain amount of money. If he spends $15, then he has 1/4 of the original amount left. How much money did Roman have originally?

Bly 13 x

Answer 1

$60

Explanation:

Method 1

We want to know how much money Roman originally has considering if he spends $15, then he has
`(1)/(4)` of the original amount left. So,

We know that
`(1)/(4)` = 15 so
`(2)/(4)` = 30 and double that will get 60 so 60 is the original amount

Method 2

Lets call the original amount 'x'

If he spends $15 he has
`(1)/(4)` of the original amount so,

`(1)/(4)` x = 15

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided 15 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

`(1)/(4)` x = 15

→ Multiply both sides by 4 to isolate x

x = 60

So $60 was the original amount