Posted by Jesse on Tuesday, February 8, 2011 at 3:36pm.
Carmen received some money for her birthday on Friday. That night, she took her friend out to dinner. She spent half of her check for dinner. Then she tipped the waiter $6. The next evening she went to dinner alone, spent half of the money she had left, and tipped the waiter $2. The next night she went to dinner again, spent half of the money she had left, and tipped the waiter $1. At this time she had $6 left. How much money did she originally have?

Math  Henry, Thursday, February 10, 2011 at 5:19pm
First Trip
Check = X dollars.
Spent: X/2 + 6,
BAL = X  (X/2 + 6) = X/2  6.
SECOND TRIP
Spent: 1/2(X/2  6) + 2 = X/4  1.
BAL = (X/2  6)  (X/4  1) = X/4  5.
THIRD TRIP
Spent: 1/2(X/4  5) = X/8  5/2.
BAL=(X/4  5)  (X/8  5/2) = X/8  5/2
X/8  5/2 = 6,
Multiply both sides by 8:
X  20 = 48,
X=48 + 20 = $68 = The original amount.

Math  Livvy, Monday, May 2, 2016 at 2:29pm
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