Cathy had a sum of money. She spent $189 on a jumpsuit and 37 of the remainder on a vest. She was left with 17 of the original sum of money.
- What was the total amount Cathy spent?
- How much money did Cathy have at first?
| Jumpsuit |
Remaining amount |
| |
Vest |
Left |
| $189 |
3 |
4 |
6x4 =
24 u |
1x4 =
4 u |
| 21 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 =
17 Total amount
4x17x1 Remaining amount =
1x47x4 Total amount
47 Remaining amount =
428 Total amount
Amount that Cathy spent on the jumpsuit
= 24 u - 3 u
= 21 u
21 u = 189
1 u = 189 ÷ 21 = 9
Total amount that Cathy spent
= 21 u + 3 u
= 24 u
= 24 x 9
= $216
(b)
Total amount that Cathy had at first
= 28 u
= 28 x 9
= $252
Answer(s): (a) $216; (b) $252
