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.
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.