Penelope had 5 times as much money as Fabian. After Penelope spent
15 of her money and Fabian spent
45 of his money, they had a total of $1302 left.
- How much money did Penelope and Fabian have altogether at first?
- Fabian spent 14 of his remaining money on a blouse. What fraction of his original amount of money did he spend on the blouse?
| |
Penelope |
Fabian |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 1 u |
- 0.8 u |
|
| After |
4 u |
0.2 u |
$1302 |
(a)
Amount that Penelope spent
=
15 x 5 u
= 1 u
Amount that Fabian spent
=
45 x 1 u
= 0.8 u
Amount that Penelope and Fabian spent
= 1 u + 0.8 u
= 4.2 u
4.2 u = 1302
1 u = 1302 ÷ 4.2 = 310
Amount that Penelope and Fabian had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 310
= $1860
(b)
Amount that Fabian spent on the blouse
=
14 x 0.2 u
= 0.05 u
Fraction of Fabian's original amount that he spent on a blouse
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $1860; (b)
120 
