Julie had a sum of money. She spent $95 on a blazer and 58 of the remainder on a jumpsuit. She was left with 19 of the original sum of money.
- What was the total amount Julie spent?
- How much money did Julie have at first?
Blazer |
Remaining amount |
|
Jumpsuit |
Left |
$95 |
5 |
3 |
8x3 = 24 u |
1x3 = 3 u |
19 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 =
19 Total amount
3x18x1 Remaining amount =
1x39x3 Total amount
38 Remaining amount =
327 Total amount
Amount that Julie spent on the blazer
= 24 u - 5 u
= 19 u
19 u = 95
1 u = 95 ÷ 19 = 5
Total amount that Julie spent
= 19 u + 5 u
= 24 u
= 24 x 5
= $120
(b)
Total amount that Julie had at first
= 27 u
= 27 x 5
= $135
Answer(s): (a) $120; (b) $135