Winnie had 6 times as much money as Vincent. After Winnie spent
12 of her money and Vincent spent
35 of his money, they had a total of $1479 left.
- How much money did Winnie and Vincent have altogether at first?
- Vincent spent 58 of his remaining money on a shirt. What fraction of his original amount of money did he spend on the shirt?
|
Winnie |
Vincent |
Total |
Before |
6 u |
1 u |
|
Change |
- 3 u |
- 0.6 u |
|
After |
3 u |
0.4 u |
$1479 |
(a)
Amount that Winnie spent
=
12 x 6 u
= 3 u
Amount that Vincent spent
=
35 x 1 u
= 0.6 u
Amount that Winnie and Vincent spent
= 3 u + 0.6 u
= 3.4 u
3.4 u = 1479
1 u = 1479 ÷ 3.4 = 435
Amount that Winnie and Vincent had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 435
= $3045
(b)
Amount that Vincent spent on the shirt
=
58 x 0.4 u
= 0.25 u
Fraction of Vincent's original amount that he spent on a shirt
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $3045; (b)
14