Linda had a sum of money. She spent $272 on a blazer and 37 of the remainder on a jumpsuit. She was left with 16 of the original sum of money.
- What was the total amount Linda spent?
- How much money did Linda have at first?
| Blazer |
Remaining amount |
| |
Jumpsuit |
Left |
| $272 |
3 |
4 |
5x4 =
20 u |
1x4 =
4 u |
| 17 u |
3 u |
4 u |
(a)
Fraction of the remaining amount left
= 1 -
37=
47The amount left is repeated.
Make the numerators the same. LCM of 4 and 1 is 4.
47 Remaining amount =
16 Total amount
4x17x1 Remaining amount =
1x46x4 Total amount
47 Remaining amount =
424 Total amount
Amount that Linda spent on the blazer
= 20 u - 3 u
= 17 u
17 u = 272
1 u = 272 ÷ 17 = 16
Total amount that Linda spent
= 17 u + 3 u
= 20 u
= 20 x 16
= $320
(b)
Total amount that Linda had at first
= 24 u
= 24 x 16
= $384
Answer(s): (a) $320; (b) $384
