Helen spent $75 on a dress. She spent
311 of her remaining money on a windbreaker and a shirt, after which half her money was left.
- What fraction of her money did she spend on the dress?
- The cost of the shirt is 14 the cost of the windbreaker. How much more does the windbreaker cost than the shirt?
Dress |
Remaining amount |
|
Windbreaker |
Shirt |
Left |
$75 |
3 |
8 |
1x8 |
1x8 |
5 u |
3 u |
8 u |
(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 8 is 8.
1x82x8 of total money =
811 of remaining amount
816 of total money =
811 of remaining amount
Fraction of her money that she spent on the dress
=
DressTotal =
516 (b)
Cost of the dress = 5 u
5 u = 75
1 u = 75 ÷ 5 = 15
Cost of the windbreaker and the shirt
= 3 u
= 3 x 15
= $45
Cost of the shirt = 1 p
Cost of the windbreaker = 4 p
Total cost of the shirt and the windbreaker
= 1 p + 4 p
= 5 p
5 p = 45
1 p = 45 ÷ 5 = 9
Amount that the windbreaker was more than the shirt
= 4 p - 1 p
= 3 p
= 3 x 9
= $27
Answer(s): (a)
516; (b) $27