Jaslyn had a sum of money. She spent $169 on a jumpsuit and 58 of the remainder on a dress. She was left with 17 of the original sum of money.
- What was the total amount Jaslyn spent?
- How much money did Jaslyn have at first?
Jumpsuit |
Remaining amount |
|
Dress |
Left |
$169 |
5 |
3 |
6x3 = 18 u |
1x3 = 3 u |
13 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 =
17 Total amount
3x18x1 Remaining amount =
1x37x3 Total amount
38 Remaining amount =
321 Total amount
Amount that Jaslyn spent on the jumpsuit
= 18 u - 5 u
= 13 u
13 u = 169
1 u = 169 ÷ 13 = 13
Total amount that Jaslyn spent
= 13 u + 5 u
= 18 u
= 18 x 13
= $234
(b)
Total amount that Jaslyn had at first
= 21 u
= 21 x 13
= $273
Answer(s): (a) $234; (b) $273