Xylia had a sum of money. She spent $12 on a blouse and 25 of the remainder on a windbreaker. She was left with 13 of the original sum of money.
- What was the total amount Xylia spent?
- How much money did Xylia have at first?
| Blouse |
Remaining amount |
| |
Windbreaker |
Left |
| $12 |
2 |
3 |
2x3 =
6 u |
1x3 =
3 u |
| 4 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 =
13 Total amount
3x15x1 Remaining amount =
1x33x3 Total amount
35 Remaining amount =
39 Total amount
Amount that Xylia spent on the blouse
= 6 u - 2 u
= 4 u
4 u = 12
1 u = 12 ÷ 4 = 3
Total amount that Xylia spent
= 4 u + 2 u
= 6 u
= 6 x 3
= $18
(b)
Total amount that Xylia had at first
= 9 u
= 9 x 3
= $27
Answer(s): (a) $18; (b) $27
