Roshel had 6 times as much money as Michael. After Roshel spent
15 of her money and Michael spent
25 of his money, they had a total of $1647 left.
- How much money did Roshel and Michael have altogether at first?
- Michael spent 25 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Roshel |
Michael |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 1.2 u |
- 0.4 u |
|
| After |
4.8 u |
0.6 u |
$1647 |
(a)
Amount that Roshel spent
=
15 x 6 u
= 1.2 u
Amount that Michael spent
=
25 x 1 u
= 0.4 u
Amount that Roshel and Michael spent
= 1.2 u + 0.4 u
= 5.4 u
5.4 u = 1647
1 u = 1647 ÷ 5.4 = 305
Amount that Roshel and Michael had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 305
= $2135
(b)
Amount that Michael spent on the sweater
=
25 x 0.6 u
= 0.24 u
Fraction of Michael's original amount that he spent on a sweater
=
0.241 =
0.24 x 1001 x 100=
24100=
625 Answer(s): (a) $2135; (b)
625 
