Kimberly had 6 times as much money as Seth. After Kimberly spent
13 of her money and Seth spent
25 of his money, they had a total of $1610 left.
- How much money did Kimberly and Seth have altogether at first?
- Seth spent 25 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
|
Kimberly |
Seth |
Total |
Before |
6 u |
1 u |
|
Change |
- 2 u |
- 0.4 u |
|
After |
4 u |
0.6 u |
$1610 |
(a)
Amount that Kimberly spent
=
13 x 6 u
= 2 u
Amount that Seth spent
=
25 x 1 u
= 0.4 u
Amount that Kimberly and Seth spent
= 2 u + 0.4 u
= 4.6 u
4.6 u = 1610
1 u = 1610 ÷ 4.6 = 350
Amount that Kimberly and Seth had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 350
= $2450
(b)
Amount that Seth spent on the skirt
=
25 x 0.6 u
= 0.24 u
Fraction of Seth's original amount that he spent on a skirt
=
0.241 =
0.24 x 1001 x 100=
24100=
625 Answer(s): (a) $2450; (b)
625