Helen spent $15 on a jacket. She spent
411 of her remaining money on a dress and a jumpsuit, after which half her money was left.
- What fraction of her money did she spend on the jacket?
- The cost of the jumpsuit is 14 the cost of the dress. How much more does the dress cost than the jumpsuit?
Jacket |
Remaining amount |
|
Dress |
Jumpsuit |
Left |
$15 |
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 jacket
=
JacketTotal =
314 (b)
Cost of the jacket = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Cost of the dress and the jumpsuit
= 4 u
= 4 x 5
= $20
Cost of the jumpsuit = 1 p
Cost of the dress = 4 p
Total cost of the jumpsuit and the dress
= 1 p + 4 p
= 5 p
5 p = 20
1 p = 20 ÷ 5 = 4
Amount that the dress was more than the jumpsuit
= 4 p - 1 p
= 3 p
= 3 x 4
= $12
Answer(s): (a)
314; (b) $12