Helen spent $60 on a blouse. She spent
27 of her remaining money on a blazer and a windbreaker, after which half her money was left.
- What fraction of her money did she spend on the blouse?
- The cost of the windbreaker is 14 the cost of the blazer. How much more does the blazer cost than the windbreaker?
Blouse |
Remaining amount |
|
Blazer |
Windbreaker |
Left |
$60 |
2 |
5 |
1x5 |
1x5 |
3 u |
2 u |
5 u |
(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 5 is 5.
1x52x5 of total money =
57 of remaining amount
510 of total money =
57 of remaining amount
Fraction of her money that she spent on the blouse
=
BlouseTotal =
310 (b)
Cost of the blouse = 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Cost of the blazer and the windbreaker
= 2 u
= 2 x 20
= $40
Cost of the windbreaker = 1 p
Cost of the blazer = 4 p
Total cost of the windbreaker and the blazer
= 1 p + 4 p
= 5 p
5 p = 40
1 p = 40 ÷ 5 = 8
Amount that the blazer was more than the windbreaker
= 4 p - 1 p
= 3 p
= 3 x 8
= $24
Answer(s): (a)
310; (b) $24