Helen spent $75 on a coat. She spent
311 of her remaining money on a vest and a dress, after which half her money was left.
- What fraction of her money did she spend on the coat?
- The cost of the dress is 14 the cost of the vest. How much more does the vest cost than the dress?
| Coat |
Remaining amount |
| |
Vest |
Dress |
Left |
| $75 |
3 |
8 |
| 1x8 |
1x8 |
| 5 u |
3 u |
8 u |
(a)
The amount of money left is repeated. Make the numerators the same LCM of 1 and 8 is 8.
1x82x8 of total money =
811 of remaining amount
816 of total money =
811 of remaining amount
Fraction of her money that she spent on the coat
=
CoatTotal =
516 (b)
Cost of the coat = 5 u
5 u = 75
1 u = 75 ÷ 5 = 15
Cost of the vest and the dress
= 3 u
= 3 x 15
= $45
Cost of the dress = 1 p
Cost of the vest = 4 p
Total cost of the dress and the vest
= 1 p + 4 p
= 5 p
5 p = 45
1 p = 45 ÷ 5 = 9
Amount that the vest was more than the dress
= 4 p - 1 p
= 3 p
= 3 x 9
= $27
Answer(s): (a)
516; (b) $27
