Question 1049250: Trying to help my daughter, but it's been a long time since I've done this:
I know to solve for the allowance (X), but the cookie part has stumped me.
Stanley decided to spend his allowance. He bought ice cream for $11.20. He
spent half of what he had left on a giant cookie, and then bought a piece of fudge for $8.36. He had exactly 4 cents left. How much was his allowance?
Thanks for your help.
Found 3 solutions by josgarithmetic, MathTherapy, ewatrrr:
Answer by josgarithmetic(39617)   (Show Source):
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
Trying to help my daughter, but it's been a long time since I've done this:
I know to solve for the allowance (X), but the cookie part has stumped me.
Stanley decided to spend his allowance. He bought ice cream for $11.20. He
spent half of what he had left on a giant cookie, and then bought a piece of fudge for $8.36. He had exactly 4 cents left. How much was his allowance?
Thanks for your help.
Let amount of allowance be A
After spending 11.20 on ice-cream he had: A - 11.2 left
After spending  of remainder on a cookie, he had of remainder, or  left
After spending $8.36 on the fudge, he had:  left
Since the final amount he was left with was: .04, we can say that:
A - 11.2 - 16.72 = .08 ------ Multiplying by LCD, 2
A - 27.92 = .08
A, or amount of allowance = .08 + 27.92, or 
Answer by ewatrrr(24785)  (Show Source):
You can put this solution on YOUR website! A - $11.20 - (A - $11.20)/2 - $8.36 = .04
A - $11.20 - A/2 + $5.60 - $8.36 = .04
A/2 -$11.20 + $5.60 - $8.36 = .04
A/2 = .04 + 11.20 - 5.60 + 8.36
A/2 = $14.00
A = $28.00
AND
28.00 - 11.20 - 8.40 - 8.36 = .04 CHECKS!
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