Jen had 6 times as much money as Asher. After Jen spent
12 of her money and Asher spent
45 of his money, they had a total of $1600 left.
- How much money did Jen and Asher have altogether at first?
- Asher spent 45 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Jen |
Asher |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 3 u |
- 0.8 u |
|
| After |
3 u |
0.2 u |
$1600 |
(a)
Amount that Jen spent
=
12 x 6 u
= 3 u
Amount that Asher spent
=
45 x 1 u
= 0.8 u
Amount that Jen and Asher spent
= 3 u + 0.8 u
= 3.2 u
3.2 u = 1600
1 u = 1600 ÷ 3.2 = 500
Amount that Jen and Asher had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 500
= $3500
(b)
Amount that Asher spent on the jacket
=
45 x 0.2 u
= 0.16 u
Fraction of Asher's original amount that he spent on a jacket
=
0.161 =
0.16 x 1001 x 100=
16100=
425 Answer(s): (a) $3500; (b)
425 
