Helen spent $57 on a coat. She spent
411 of her remaining money on a sweater 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 13 the cost of the sweater. How much more does the sweater cost than the blouse?
Coat |
Remaining amount |
|
Sweater |
Blouse |
Left |
$57 |
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 coat
=
CoatTotal =
314 (b)
Cost of the coat = 3 u
3 u = 57
1 u = 57 ÷ 3 = 19
Cost of the sweater and the blouse
= 4 u
= 4 x 19
= $76
Cost of the blouse = 1 p
Cost of the sweater = 3 p
Total cost of the blouse and the sweater
= 1 p + 3 p
= 4 p
4 p = 76
1 p = 76 ÷ 4 = 19
Amount that the sweater was more than the blouse
= 3 p - 1 p
= 2 p
= 2 x 19
= $38
Answer(s): (a)
314; (b) $38