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?

Answer 1

If he has 1/4 of the original amount left, then he must have spent 3/4 of it. So $15 is 3/4 of the original amount. To write this mathematically, say 15= (3/4)x. Divide both sides by 3/4. The original amount must be $20. Now to check your work, see if it makes sense. If you have $20 and you spend $15, do you have a quarter of your original amount left? Yes, because $5 is a quarter of $20.

Answer 2

Hi Jayanna, let x represent the original amount Roman had. Set up an equation representing the statement.

Equation:

x - 15 = x / 4, Roman spent 15, he had 1/4 the amount left, or x / 4.

Solve for x:

4x - 60 = x

3x = 60

x = 20

Roman originally had $20.00.

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