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.

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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