Dana had a sum of money. She spent $256 on a sweater and 58 of the remainder on a blouse. She was left with 18 of the original sum of money.
- What was the total amount Dana spent?
- How much money did Dana have at first?
Sweater |
Remaining amount |
|
Blouse |
Left |
$256 |
5 |
3 |
7x3 = 21 u |
1x3 = 3 u |
16 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 =
18 Total amount
3x18x1 Remaining amount =
1x38x3 Total amount
38 Remaining amount =
324 Total amount
Amount that Dana spent on the sweater
= 21 u - 5 u
= 16 u
16 u = 256
1 u = 256 ÷ 16 = 16
Total amount that Dana spent
= 16 u + 5 u
= 21 u
= 21 x 16
= $336
(b)
Total amount that Dana had at first
= 24 u
= 24 x 16
= $384
Answer(s): (a) $336; (b) $384