Usha had a sum of money. She spent $40 on a windbreaker and 27 of the remainder on a jacket. She was left with 13 of the original sum of money.
- What was the total amount Usha spent?
- How much money did Usha have at first?
Windbreaker |
Remaining amount |
|
Jacket |
Left |
$40 |
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 Usha spent on the windbreaker
= 10 u - 2 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Total amount that Usha spent
= 8 u + 2 u
= 10 u
= 10 x 5
= $50
(b)
Total amount that Usha had at first
= 15 u
= 15 x 5
= $75
Answer(s): (a) $50; (b) $75