Roshel had a sum of money. She spent $272 on a coat and 58 of the remainder on a windbreaker. She was left with 18 of the original sum of money.
- What was the total amount Roshel spent?
- How much money did Roshel have at first?
| Coat |
Remaining amount |
| |
Windbreaker |
Left |
| $272 |
5 |
3 |
7x3 =
21 u |
1x3 =
3 u |
| 16 u |
5 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
58=
38The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
38 Remaining amount =
18 Total amount
3x18x1 Remaining amount =
1x38x3 Total amount
38 Remaining amount =
324 Total amount
Amount that Roshel spent on the coat
= 21 u - 5 u
= 16 u
16 u = 272
1 u = 272 ÷ 16 = 17
Total amount that Roshel spent
= 16 u + 5 u
= 21 u
= 21 x 17
= $357
(b)
Total amount that Roshel had at first
= 24 u
= 24 x 17
= $408
Answer(s): (a) $357; (b) $408
