Kathy had 6 times as much money as Paul. After Kathy spent
14 of her money and Paul spent
25 of his money, they had a total of $2193 left.
- How much money did Kathy and Paul have altogether at first?
- Paul spent 45 of his remaining money on a blouse. What fraction of his original amount of money did he spend on the blouse?
| |
Kathy |
Paul |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 1.5 u |
- 0.4 u |
|
| After |
4.5 u |
0.6 u |
$2193 |
(a)
Amount that Kathy spent
=
14 x 6 u
= 1.5 u
Amount that Paul spent
=
25 x 1 u
= 0.4 u
Amount that Kathy and Paul spent
= 1.5 u + 0.4 u
= 5.1 u
5.1 u = 2193
1 u = 2193 ÷ 5.1 = 430
Amount that Kathy and Paul had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 430
= $3010
(b)
Amount that Paul spent on the blouse
=
45 x 0.6 u
= 0.48 u
Fraction of Paul's original amount that he spent on a blouse
=
0.481 =
0.48 x 1001 x 100=
48100=
1225 Answer(s): (a) $3010; (b)
1225 
