Gem had 4 times as much money as Paul. After Gem spent
12 of her money and Paul spent
25 of his money, they had a total of $2080 left.
- How much money did Gem and Paul have altogether at first?
- Paul spent 15 of his remaining money on a blouse. What fraction of his original amount of money did he spend on the blouse?
| |
Gem |
Paul |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 2 u |
- 0.4 u |
|
| After |
2 u |
0.6 u |
$2080 |
(a)
Amount that Gem spent
=
12 x 4 u
= 2 u
Amount that Paul spent
=
25 x 1 u
= 0.4 u
Amount that Gem and Paul spent
= 2 u + 0.4 u
= 2.6 u
2.6 u = 2080
1 u = 2080 ÷ 2.6 = 800
Amount that Gem and Paul had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 800
= $4000
(b)
Amount that Paul spent on the blouse
=
15 x 0.6 u
= 0.12 u
Fraction of Paul's original amount that he spent on a blouse
=
0.121 =
0.12 x 1001 x 100=
12100=
325 Answer(s): (a) $4000; (b)
325 
