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.