Helen spent $20 on a shirt. She spent
311 of her remaining money on a windbreaker and a blazer, after which half her money was left.
- What fraction of her money did she spend on the shirt?
- The cost of the blazer is 13 the cost of the windbreaker. How much more does the windbreaker cost than the blazer?
Shirt |
Remaining amount |
|
Windbreaker |
Blazer |
Left |
$20 |
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 shirt
=
ShirtTotal =
516 (b)
Cost of the shirt = 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Cost of the windbreaker and the blazer
= 3 u
= 3 x 4
= $12
Cost of the blazer = 1 p
Cost of the windbreaker = 3 p
Total cost of the blazer and the windbreaker
= 1 p + 3 p
= 4 p
4 p = 12
1 p = 12 ÷ 4 = 3
Amount that the windbreaker was more than the blazer
= 3 p - 1 p
= 2 p
= 2 x 3
= $6
Answer(s): (a)
516; (b) $6