Julie had a sum of money. She spent $324 on a skirt and 27 of the remainder on a sweater. She was left with 15 of the original sum of money.
- What was the total amount Julie spent?
- How much money did Julie have at first?
| Skirt |
Remaining amount |
| |
Sweater |
Left |
| $324 |
2 |
5 |
4x5 =
20 u |
1x5 =
5 u |
| 18 u |
2 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
27=
57The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
57 Remaining amount =
15 Total amount
5x17x1 Remaining amount =
1x55x5 Total amount
57 Remaining amount =
525 Total amount
Amount that Julie spent on the skirt
= 20 u - 2 u
= 18 u
18 u = 324
1 u = 324 ÷ 18 = 18
Total amount that Julie spent
= 18 u + 2 u
= 20 u
= 20 x 18
= $360
(b)
Total amount that Julie had at first
= 25 u
= 25 x 18
= $450
Answer(s): (a) $360; (b) $450
