Rachel had a sum of money. She spent $24 on a jacket and 58 of the remainder on a jumpsuit. She was left with 14 of the original sum of money.
- What was the total amount Rachel spent?
- How much money did Rachel have at first?
| Jacket |
Remaining amount |
| |
Jumpsuit |
Left |
| $24 |
5 |
3 |
3x3 =
9 u |
1x3 =
3 u |
| 4 u |
5 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
58=
38The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
38 Remaining amount =
14 Total amount
3x18x1 Remaining amount =
1x34x3 Total amount
38 Remaining amount =
312 Total amount
Amount that Rachel spent on the jacket
= 9 u - 5 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total amount that Rachel spent
= 4 u + 5 u
= 9 u
= 9 x 6
= $54
(b)
Total amount that Rachel had at first
= 12 u
= 12 x 6
= $72
Answer(s): (a) $54; (b) $72
