Elyse had a sum of money. She spent $272 on a windbreaker and 25 of the remainder on a shirt. She was left with 17 of the original sum of money.
- What was the total amount Elyse spent?
- How much money did Elyse have at first?
| Windbreaker |
Remaining amount |
| |
Shirt |
Left |
| $272 |
2 |
3 |
6x3 =
18 u |
1x3 =
3 u |
| 16 u |
2 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
25=
35The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
35 Remaining amount =
17 Total amount
3x15x1 Remaining amount =
1x37x3 Total amount
35 Remaining amount =
321 Total amount
Amount that Elyse spent on the windbreaker
= 18 u - 2 u
= 16 u
16 u = 272
1 u = 272 ÷ 16 = 17
Total amount that Elyse spent
= 16 u + 2 u
= 18 u
= 18 x 17
= $306
(b)
Total amount that Elyse had at first
= 21 u
= 21 x 17
= $357
Answer(s): (a) $306; (b) $357
