Helen spent $105 on a jacket. She spent
211 of her remaining money on a vest 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 vest. How much more does the vest cost than the jumpsuit?
Jacket |
Remaining amount |
|
Vest |
Jumpsuit |
Left |
$105 |
2 |
9 |
1x9 |
1x9 |
7 u |
2 u |
9 u |
(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 9 is 9.
1x92x9 of total money =
911 of remaining amount
918 of total money =
911 of remaining amount
Fraction of her money that she spent on the jacket
=
JacketTotal =
718 (b)
Cost of the jacket = 7 u
7 u = 105
1 u = 105 ÷ 7 = 15
Cost of the vest and the jumpsuit
= 2 u
= 2 x 15
= $30
Cost of the jumpsuit = 1 p
Cost of the vest = 4 p
Total cost of the jumpsuit and the vest
= 1 p + 4 p
= 5 p
5 p = 30
1 p = 30 ÷ 5 = 6
Amount that the vest was more than the jumpsuit
= 4 p - 1 p
= 3 p
= 3 x 6
= $18
Answer(s): (a)
718; (b) $18