Helen spent $30 on a jacket. She spent
27 of her remaining money on a dress and a windbreaker, after which half her money was left.
- What fraction of her money did she spend on the jacket?
- The cost of the windbreaker is 13 the cost of the dress. How much more does the dress cost than the windbreaker?
Jacket |
Remaining amount |
|
Dress |
Windbreaker |
Left |
$30 |
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 jacket
=
JacketTotal =
310 (b)
Cost of the jacket = 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Cost of the dress and the windbreaker
= 2 u
= 2 x 10
= $20
Cost of the windbreaker = 1 p
Cost of the dress = 3 p
Total cost of the windbreaker and the dress
= 1 p + 3 p
= 4 p
4 p = 20
1 p = 20 ÷ 4 = 5
Amount that the dress was more than the windbreaker
= 3 p - 1 p
= 2 p
= 2 x 5
= $10
Answer(s): (a)
310; (b) $10