Helen spent $45 on a coat. She spent
27 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 coat?
- The cost of the blazer is 15 the cost of the windbreaker. How much more does the windbreaker cost than the blazer?
Coat |
Remaining amount |
|
Windbreaker |
Blazer |
Left |
$45 |
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 coat
=
CoatTotal =
310 (b)
Cost of the coat = 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Cost of the windbreaker and the blazer
= 2 u
= 2 x 15
= $30
Cost of the blazer = 1 p
Cost of the windbreaker = 5 p
Total cost of the blazer and the windbreaker
= 1 p + 5 p
= 6 p
6 p = 30
1 p = 30 ÷ 6 = 5
Amount that the windbreaker was more than the blazer
= 5 p - 1 p
= 4 p
= 4 x 5
= $20
Answer(s): (a)
310; (b) $20