I got this one from edhelper.com:
Cody, Benjamin, Sean, Cameron, Aaron, and Jordan each had a different amount of money. They all went to the mall and brought their money. At the mall, each person spent a fraction of the money they started out with. They started out with: $72, $24, $66, $18, $48, and $60. At the mall one spent 1/3 of their money, one spent 1/3 of their money, one spent 5/6 of their money, one spent 1/6 of their money, one spent 2/3 of their money, and one spent 1/2 of their money.
How much money did each person spend at the mall? How much money does each person have left?
1. Benjamin spent more than 1/6 of his money.
2. Cameron spent less than 5/6 of his money.
3. Cody did not spend 1/2 of his money.
4. Jordan spent less than 1/2 of his money.
5. Jordan spent $24.
6. Sean has $15 left after spending money at the mall.
7. Cody spent $33.
8. The person that started out with $24, has $8 left after shopping.
9. Cameron has $40 left after spending money at the mall.
10. Cameron did not spend 2/3 of his money.
11. The person that started out with $60, has $40 left after shopping.
12. Benjamin did not spend 1/6 of his money.
13. Aaron did not spend 1/3 of his money.
14. Benjamin has $8 left after spending money at the mall.
I'm posting one puzzle, riddle, math, or statistical problem a day. Try to answer each one and post your answers in the comments section. I'll post the answer the next day. Even if you have the same answer as someone else, feel free to put up your answer, too!
Friday, January 06, 2012
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Cameron: (9;11) (start 60 spent 1/3 left 40)
ReplyDeleteBenjamin: (8;14) (start 24 spent 2/3 left 8)
Jordan: (4;5) (start 72 spent 1/3 = 24)
(Jordan could either spend 1/3 or 1/6 (only options less then 1/2) wherease 1/6 would give a start 144, no option!)
Cody (3;7) here it doesn't add up
only spent options left: 1/6 or 5/6
he spent 33
which gives, start 198 or 39.6 respectively. Not options!
I went with there being a typo on Cody.
ReplyDeleteAaron 5/6 $48
Benjamin 2/3 $24
Cameron 1/3 $60
Cody 1/2 $66
Jordan 1/3 $72
Sean 1/6 $18