Helen spent $35 on a windbreaker. She spent
29 of her remaining money on a dress and a jumpsuit, after which half her money was left.
- What fraction of her money did she spend on the windbreaker?
- The cost of the jumpsuit is 16 the cost of the dress. How much more does the dress cost than the jumpsuit?
Windbreaker |
Remaining amount |
|
Dress |
Jumpsuit |
Left |
$35 |
2 |
7 |
1x7 |
1x7 |
5 u |
2 u |
7 u |
(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 7 is 7.
1x72x7 of total money =
79 of remaining amount
714 of total money =
79 of remaining amount
Fraction of her money that she spent on the windbreaker
=
WindbreakerTotal =
514 (b)
Cost of the windbreaker = 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Cost of the dress and the jumpsuit
= 2 u
= 2 x 7
= $14
Cost of the jumpsuit = 1 p
Cost of the dress = 6 p
Total cost of the jumpsuit and the dress
= 1 p + 6 p
= 7 p
7 p = 14
1 p = 14 ÷ 7 = 2
Amount that the dress was more than the jumpsuit
= 6 p - 1 p
= 5 p
= 5 x 2
= $10
Answer(s): (a)
514; (b) $10