Helen spent $30 on a dress. She spent
27 of her remaining money on a coat and a blazer, after which half her money was left.
- What fraction of her money did she spend on the dress?
- The cost of the blazer is 14 the cost of the coat. How much more does the coat cost than the blazer?
Dress |
Remaining amount |
|
Coat |
Blazer |
Left |
$30 |
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 dress
=
DressTotal =
310 (b)
Cost of the dress = 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Cost of the coat and the blazer
= 2 u
= 2 x 10
= $20
Cost of the blazer = 1 p
Cost of the coat = 4 p
Total cost of the blazer and the coat
= 1 p + 4 p
= 5 p
5 p = 20
1 p = 20 ÷ 5 = 4
Amount that the coat was more than the blazer
= 4 p - 1 p
= 3 p
= 3 x 4
= $12
Answer(s): (a)
310; (b) $12