David spent $5 less than 1/4th of his original amount of money. He has $53 left. What was David’s original amount of money?

Mathematics · Middle School · Tue Nov 03 2020

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Given the statement:

David spent $5 less than 1/4th of his original amount of money. He has $53 left.

Determine David's original amount of money.

Solution.

Since it is state that David spent $5 less than ¼th of his original money, and now he has $53 dollars left. In order to find David's original money, we simply add back the $5 that David spent, and multiply the sum by 4.

= $53 + $5

= $58

¼th of David's money is $58 dollars, we multiply it by 4 in order to get the total amount of money that David had.

Total amount of money = ($58)(4)

Total amount of money = $232