Lma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226. How much money was Alma given as a gift?

Given :

Alma was given some money as a gift and deposited it into a savings account.

She makes a withdrawal of the same amount at the end of each month.

At the end of the 5th month, her balance was $442.

At the end of the 13th month, her balance was $226.

To Find :

How much money was Alma given as a gift.

Solution :

Let, total amount in his account is T and money gifted is x.

So, balance left after 5 month :

442 = T - 5x     ...1)

Balance left after 13 month :

226 = T - 13x    ...2)

Solving equation 1 and 2, we get :

( T-13x ) - ( T- 5x ) = 226-442

-8x = −216

x = $27

Money Alma gifted is $27.

Hence, this is the required solution.

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step-by-step explanation: