The Mall – My sister loves to go shopping. Yesterday she borrowed a wad of money

Question

The Mall – My sister loves to go shopping. Yesterday she borrowed a wad of money from mom and went to the mall. She began her excursion by spending $18 on a new music compact disc. Then she spent half of her remaining money on a new dress. Then she spent $11 taking herself and her friend out to lunch. Then she spent one-third of her remaining money on a book. On her way home she bought gas for $12 and then spent one-third of her remaining money on a discount tape at the convenience store. Finally, she slipped me $2 when she got home and gave mom back $6 in change. Mom was furious and demanded an explanation of where the money went. What did she tell her mom? (List the items and the amount spent on each item.)

Explanation / Answer

Let the total money borrowed be X

The expenses are

(2X-170)/9=6

2X-170=54

2X= 224

X= 112

so now we can list down the expenses again by substituting value of X

So the left over 6 is returned to Mom.

Expenses(in $) Amount remaining 18 -new music compact disc X-18 (X-18)/2 - New dress (X-18)/2 11 on lunch [(X-18)/2] -11 i.e (X-40)/2 (X-40)/6 on book (X-40)/2-(X-40)/6 i.e (X-40)/3 12 on gas [(X-40)/3]-12 i.e (X-76)/3 (X-76)/9 on discount tape [2(X-76)]/9 2 gave to me [2(X-76)]/9-2 i.e (2X-170)/9

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