Dana had a sum of money. She spent $90 on a blazer and 37 of the remainder on a jumpsuit. She was left with 14 of the original sum of money.
- What was the total amount Dana spent?
- How much money did Dana have at first?
| Blazer |
Remaining amount |
| |
Jumpsuit |
Left |
| $90 |
3 |
4 |
3x4 =
12 u |
1x4 =
4 u |
| 9 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 =
14 Total amount
4x17x1 Remaining amount =
1x44x4 Total amount
47 Remaining amount =
416 Total amount
Amount that Dana spent on the blazer
= 12 u - 3 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Total amount that Dana spent
= 9 u + 3 u
= 12 u
= 12 x 10
= $120
(b)
Total amount that Dana had at first
= 16 u
= 16 x 10
= $160
Answer(s): (a) $120; (b) $160
