Rachel had a sum of money. She spent $85 on a skirt and 37 of the remainder on a vest. She was left with 16 of the original sum of money.
- What was the total amount Rachel spent?
- How much money did Rachel have at first?
| Skirt |
Remaining amount |
| |
Vest |
Left |
| $85 |
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 Rachel spent on the skirt
= 20 u - 3 u
= 17 u
17 u = 85
1 u = 85 ÷ 17 = 5
Total amount that Rachel spent
= 17 u + 3 u
= 20 u
= 20 x 5
= $100
(b)
Total amount that Rachel had at first
= 24 u
= 24 x 5
= $120
Answer(s): (a) $100; (b) $120
