Helen spent $15 on a shirt. She spent
27 of her remaining money on a windbreaker and a blouse, after which half her money was left.
- What fraction of her money did she spend on the shirt?
- The cost of the blouse is 14 the cost of the windbreaker. How much more does the windbreaker cost than the blouse?
Shirt |
Remaining amount |
|
Windbreaker |
Blouse |
Left |
$15 |
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 shirt
=
ShirtTotal =
310 (b)
Cost of the shirt = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Cost of the windbreaker and the blouse
= 2 u
= 2 x 5
= $10
Cost of the blouse = 1 p
Cost of the windbreaker = 4 p
Total cost of the blouse and the windbreaker
= 1 p + 4 p
= 5 p
5 p = 10
1 p = 10 ÷ 5 = 2
Amount that the windbreaker was more than the blouse
= 4 p - 1 p
= 3 p
= 3 x 2
= $6
Answer(s): (a)
310; (b) $6