Roshel had a sum of money. She spent $169 on a jumpsuit and 25 of the remainder on a vest. She was left with 16 of the original sum of money.
- What was the total amount Roshel spent?
- How much money did Roshel have at first?
| Jumpsuit |
Remaining amount |
| |
Vest |
Left |
| $169 |
2 |
3 |
5x3 =
15 u |
1x3 =
3 u |
| 13 u |
2 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
25=
35The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
35 Remaining amount =
16 Total amount
3x15x1 Remaining amount =
1x36x3 Total amount
35 Remaining amount =
318 Total amount
Amount that Roshel spent on the jumpsuit
= 15 u - 2 u
= 13 u
13 u = 169
1 u = 169 ÷ 13 = 13
Total amount that Roshel spent
= 13 u + 2 u
= 15 u
= 15 x 13
= $195
(b)
Total amount that Roshel had at first
= 18 u
= 18 x 13
= $234
Answer(s): (a) $195; (b) $234
