Xuan had a sum of money. She spent $187 on a sweater and 38 of the remainder on a blazer. She was left with 15 of the original sum of money.
- What was the total amount Xuan spent?
- How much money did Xuan have at first?
| Sweater |
Remaining amount |
| |
Blazer |
Left |
| $187 |
3 |
5 |
4x5 =
20 u |
1x5 =
5 u |
| 17 u |
3 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
38=
58The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
58 Remaining amount =
15 Total amount
5x18x1 Remaining amount =
1x55x5 Total amount
58 Remaining amount =
525 Total amount
Amount that Xuan spent on the sweater
= 20 u - 3 u
= 17 u
17 u = 187
1 u = 187 ÷ 17 = 11
Total amount that Xuan spent
= 17 u + 3 u
= 20 u
= 20 x 11
= $220
(b)
Total amount that Xuan had at first
= 25 u
= 25 x 11
= $275
Answer(s): (a) $220; (b) $275
