Helen spent $48 on a jacket. She spent
411 of her remaining money on a jumpsuit and a dress, after which half her money was left.
- What fraction of her money did she spend on the jacket?
- The cost of the dress is 13 the cost of the jumpsuit. How much more does the jumpsuit cost than the dress?
Jacket |
Remaining amount |
|
Jumpsuit |
Dress |
Left |
$48 |
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 = 48
1 u = 48 ÷ 3 = 16
Cost of the jumpsuit and the dress
= 4 u
= 4 x 16
= $64
Cost of the dress = 1 p
Cost of the jumpsuit = 3 p
Total cost of the dress and the jumpsuit
= 1 p + 3 p
= 4 p
4 p = 64
1 p = 64 ÷ 4 = 16
Amount that the jumpsuit was more than the dress
= 3 p - 1 p
= 2 p
= 2 x 16
= $32
Answer(s): (a)
314; (b) $32