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Question

Mofor spent half of his weekly allowance on clothes. To earn more money his parents let him clean the oven for $8. What is his weekly allowance if he ended with $15?

Answer 1

Hi!

 

The answer would be $14. Here's how...

 

It says that Mofor ended with $15

You take the $15 and minus it from the extra $8 Mofor received and you get $7.

Since it says Mofor spent half of their allowance ($7) you can multiply that by 2  2x7=14

So the answer is 14.

 

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Answer 2

Start with what you know. You know that he ended up with $15. Included in that $15 is the extra $8 he earned. Start there and go backwards.

In Algebraic terms: 15 - 8 = 1/2A

 

Let's start on the left where we don't have any messy variables. What is 15 - 8? 15-8 = $7. He has $7 after he spent half of his weekly allowance on clothes. So his allowance must be $7 doubled! In logical terms, 7 x 2, which is 14

 

Or, in Algebra-speak: (7 = 1/2A) Remember that to (find the value of A/isolate A as a variable), you have to multiply both sides by the inverse of the fraction that it's multiplied by. 7x2=A. The answer is 14.

Answer 3

This problem can be written in the form of: 1/2(x) + 8 = 15

 

1/2(x) + 8 = 15

1/2(x) = 15 - 8

1/2(x) = 7

x = 7 * 2

x = 14

Weekly allowance is $14