Diana had a sum of money. She spent $320 on a blouse and 25 of the remainder on a skirt. She was left with 17 of the original sum of money.
- What was the total amount Diana spent?
- How much money did Diana have at first?
Blouse |
Remaining amount |
|
Skirt |
Left |
$320 |
2 |
3 |
6x3 = 18 u |
1x3 = 3 u |
16 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 =
17 Total amount
3x15x1 Remaining amount =
1x37x3 Total amount
35 Remaining amount =
321 Total amount
Amount that Diana spent on the blouse
= 18 u - 2 u
= 16 u
16 u = 320
1 u = 320 ÷ 16 = 20
Total amount that Diana spent
= 16 u + 2 u
= 18 u
= 18 x 20
= $360
(b)
Total amount that Diana had at first
= 21 u
= 21 x 20
= $420
Answer(s): (a) $360; (b) $420