Diana had a sum of money. She spent $64 on a dress and 27 of the remainder on a sweater. She was left with 13 of the original sum of money.
- What was the total amount Diana spent?
- How much money did Diana have at first?
| Dress |
Remaining amount |
| |
Sweater |
Left |
| $64 |
2 |
5 |
2x5 =
10 u |
1x5 =
5 u |
| 8 u |
2 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
27=
57The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
57 Remaining amount =
13 Total amount
5x17x1 Remaining amount =
1x53x5 Total amount
57 Remaining amount =
515 Total amount
Amount that Diana spent on the dress
= 10 u - 2 u
= 8 u
8 u = 64
1 u = 64 ÷ 8 = 8
Total amount that Diana spent
= 8 u + 2 u
= 10 u
= 10 x 8
= $80
(b)
Total amount that Diana had at first
= 15 u
= 15 x 8
= $120
Answer(s): (a) $80; (b) $120
