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# The Ten-Dollar Bargains

Sun 6 Jun, 2010 09:26 pm
I love a bargain! My friend and I went to the department store to buy a new hat. The hat I wanted cost \$10. I did not have that much money in my pocket, so I made this proposal to my good and generous friend, Moneybags Mike: "I have between \$5 and \$10 in my pocket. If you will loan me as much money as I now have, I will have enough money to buy that \$10 hat and have some money left over. "My good and generous friend agreed and I bought the hat. Then I saw a pair of shoes I could not live without, but I did not have enough money. I assured my generous friend, Moneybags Mike, that I would repay him soon if he would loan me that amount of money equal to what I now had in my pocket to buy the \$10 pair of shoes. He agreed. We did the same procedure again for a \$10 umbrella. I was then out of money. How much money did I have when I walked into the department store? (no sales tax!)
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aidan

1
Sun 6 Jun, 2010 11:46 pm
@Primotivo,
\$8.75
Primotivo

1
Mon 7 Jun, 2010 09:41 pm
@aidan,
How did you arrive at the answer?
aidan

1
Mon 7 Jun, 2010 10:03 pm
@Primotivo,
I knew that I had to begin his last transaction with him having \$5.00 in his pocket so the friend would give him \$5.00 to spend (equalling \$10) so when he spent the last ten, his pockets would be empty.
So I had to get to \$7.50 after subtracting the first ten, so when that was doubled, I'd have fifteen, so when I subtracted the second ten, I'd be left with five. The only number that leaves you 7.5 after subtracting 10 is 17.5 and 17.5 divided in half is 8.75.
So:
\$8.75+\$8.75 = 17.50-10=7.50+7.50=15-10=5+5=10-10=0

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