A'Reana earns a weekly allowance for doing chores around the house and for keeping all of her grades above a C. During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50. How much is
A'Reana's weekly allowance?

A'Reana's weekly allowance is $100

Step-by-step explanation:

Backward Solution

To solve some problems, we can work backward, using the inverse operations, to arrive at the solution.

The problem explains a sequence of expenses A'Reana does with her weekly allowance. In the end, she had $37.50.

That final balance came when she last spent $7.50 on a pizza. Thus, before that, she had $37.50+$7.50=$45

This balance is half of her previously remaining money. The other half was spent on a new shirt. Thus she had 2*$45=$90.

Those $90 were left after she gave $10 to her friend Taylor, thus, the initial money was $90+$10 = $100

A'Reana's weekly allowance is $100

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