SOLUTION: Dan went holiday shopping in the mall. He spend half his money on his parents' gifts, one-third of his remaining money on his brother's gift, and half of what was then left on his

Question 931471: Dan went holiday shopping in the mall. He spend half his money on his parents' gifts, one-third of his remaining money on his brother's gift, and half of what was then left on his sister's gift. He then had $10 left for himself. How much money did Dan take to the mall?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Dan went holiday shopping in the mall. He spent half his money on his parents' gifts, one-third of his remaining money on his brother's gift, and half of what was then left on his sister's gift.
Start:: x
After gift to parents:: (1/2)x
After brother's gift::(2/3)(1/2)x
After sister's gift:: (1/2)(2/3)(1/2)x
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He then had $10 left for himself. How much money did Dan take to the mall?
Equation:
(1/2)(2/3)(1/2)x = 10
(2/12)x = 10
(1/6)x = 10
x = $60
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Cheers,
Stan H.
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