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# Logic

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Justin, Alexander, Benjamin, Jordan, and Zachary 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: \$48, \$60, \$96, \$12, and \$72. At the mall one spent 5/6 of their money, one spent 1/2 of their money, one spent 1/12 of their money, one spent 11/12 of their money, and one spent 1/3 of their money. How much money did each person spend at the mall? How much money does each person have left?

1. Justin has \$24 left after spending money at the mall.
2. Benjamin spent \$8.
3. Jordan spent less than 1/2 of his money.
4. Zachary did not spend 1/12 of his money.
5. Jordan spent \$24.
6. The person that started out with \$12, has \$2 left after shopping.

Jan 23, 2022

#1
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https://web2.0calc.com/questions/fraction_42#r1

Jan 24, 2022
edited by proyaop  Jan 24, 2022
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6. \$12 start --> \$2 left = 5/6th money

Alexander spent \$10 at the

mall and has \$2 left.
5. Jordan spent \$24

he spent less than 1/2 of his money

24 / (1/3) = 72    72 - 24 = 48

Jordan spent \$24 at the mall

and has \$48 kept.

7. Justin = \$24 left   (1/2) yes 11/12 no 1/12 no

24 / (1/2) = 48

Justin spent \$24 at the mall

and has \$24 left.

2. Benjamin spent \$8 (1/12) yes 11/12 no

8 / (1/12) = 96     96 - 8 = \$88

Benjamin spent \$8 at the mall

and has \$88 left.

4. 11/12

\$60 start

\$60 * 11/12 = \$55     60 - 55 = \$5

Zachary spent \$55 at the mall

and has \$5 left.

Jan 28, 2022