Zara had a sum of money. She spent $90 on a coat and 27 of the remainder on a blazer. 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?
Coat |
Remaining amount |
|
Blazer |
Left |
$90 |
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 coat
= 20 u - 2 u
= 18 u
18 u = 90
1 u = 90 ÷ 18 = 5
Total amount that Zara spent
= 18 u + 2 u
= 20 u
= 20 x 5
= $100
(b)
Total amount that Zara had at first
= 25 u
= 25 x 5
= $125
Answer(s): (a) $100; (b) $125