Zara had a sum of money. She spent $72 on a blouse and 27 of the remainder on a dress. She was left with 15 of the original sum of money.
- What was the total amount Zara spent?
- How much money did Zara have at first?
Blouse |
Remaining amount |
|
Dress |
Left |
$72 |
2 |
5 |
4x5 = 20 u |
1x5 = 5 u |
18 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 =
15 Total amount
5x17x1 Remaining amount =
1x55x5 Total amount
57 Remaining amount =
525 Total amount
Amount that Zara spent on the blouse
= 20 u - 2 u
= 18 u
18 u = 72
1 u = 72 ÷ 18 = 4
Total amount that Zara spent
= 18 u + 2 u
= 20 u
= 20 x 4
= $80
(b)
Total amount that Zara had at first
= 25 u
= 25 x 4
= $100
Answer(s): (a) $80; (b) $100