Xandra had a sum of money. She spent $285 on a windbreaker and 25 of the remainder on a skirt. She was left with 18 of the original sum of money.
- What was the total amount Xandra spent?
- How much money did Xandra have at first?
| Windbreaker |
Remaining amount |
| |
Skirt |
Left |
| $285 |
2 |
3 |
7x3 =
21 u |
1x3 =
3 u |
| 19 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 =
18 Total amount
3x15x1 Remaining amount =
1x38x3 Total amount
35 Remaining amount =
324 Total amount
Amount that Xandra spent on the windbreaker
= 21 u - 2 u
= 19 u
19 u = 285
1 u = 285 ÷ 19 = 15
Total amount that Xandra spent
= 19 u + 2 u
= 21 u
= 21 x 15
= $315
(b)
Total amount that Xandra had at first
= 24 u
= 24 x 15
= $360
Answer(s): (a) $315; (b) $360
