Helen spent $54 on a coat. She spent
27 of her remaining money on a vest and a blouse, after which half her money was left.
- What fraction of her money did she spend on the coat?
- The cost of the blouse is 15 the cost of the vest. How much more does the vest cost than the blouse?
Coat |
Remaining amount |
|
Vest |
Blouse |
Left |
$54 |
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 coat
=
CoatTotal =
310 (b)
Cost of the coat = 3 u
3 u = 54
1 u = 54 ÷ 3 = 18
Cost of the vest and the blouse
= 2 u
= 2 x 18
= $36
Cost of the blouse = 1 p
Cost of the vest = 5 p
Total cost of the blouse and the vest
= 1 p + 5 p
= 6 p
6 p = 36
1 p = 36 ÷ 6 = 6
Amount that the vest was more than the blouse
= 5 p - 1 p
= 4 p
= 4 x 6
= $24
Answer(s): (a)
310; (b) $24