Helen spent $30 on a sweater. She spent
411 of her remaining money on a vest and a windbreaker, after which half her money was left.
- What fraction of her money did she spend on the sweater?
- The cost of the windbreaker is 14 the cost of the vest. How much more does the vest cost than the windbreaker?
Sweater |
Remaining amount |
|
Vest |
Windbreaker |
Left |
$30 |
4 |
7 |
1x7 |
1x7 |
3 u |
4 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 =
711 of remaining amount
714 of total money =
711 of remaining amount
Fraction of her money that she spent on the sweater
=
SweaterTotal =
314 (b)
Cost of the sweater = 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Cost of the vest and the windbreaker
= 4 u
= 4 x 10
= $40
Cost of the windbreaker = 1 p
Cost of the vest = 4 p
Total cost of the windbreaker and the vest
= 1 p + 4 p
= 5 p
5 p = 40
1 p = 40 ÷ 5 = 8
Amount that the vest was more than the windbreaker
= 4 p - 1 p
= 3 p
= 3 x 8
= $24
Answer(s): (a)
314; (b) $24