Dana had a sum of money. She spent $352 on a sweater and 25 of the remainder on a shirt. She was left with 19 of the original sum of money.
- What was the total amount Dana spent?
- How much money did Dana have at first?
Sweater |
Remaining amount |
|
Shirt |
Left |
$352 |
2 |
3 |
8x3 = 24 u |
1x3 = 3 u |
22 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 =
19 Total amount
3x15x1 Remaining amount =
1x39x3 Total amount
35 Remaining amount =
327 Total amount
Amount that Dana spent on the sweater
= 24 u - 2 u
= 22 u
22 u = 352
1 u = 352 ÷ 22 = 16
Total amount that Dana spent
= 22 u + 2 u
= 24 u
= 24 x 16
= $384
(b)
Total amount that Dana had at first
= 27 u
= 27 x 16
= $432
Answer(s): (a) $384; (b) $432