Kimberly had 6 times as much money as Caden. After Kimberly spent
12 of her money and Caden spent
35 of his money, they had a total of $1258 left.
- How much money did Kimberly and Caden have altogether at first?
- Caden spent 58 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Kimberly |
Caden |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 3 u |
- 0.6 u |
|
| After |
3 u |
0.4 u |
$1258 |
(a)
Amount that Kimberly spent
=
12 x 6 u
= 3 u
Amount that Caden spent
=
35 x 1 u
= 0.6 u
Amount that Kimberly and Caden spent
= 3 u + 0.6 u
= 3.4 u
3.4 u = 1258
1 u = 1258 ÷ 3.4 = 370
Amount that Kimberly and Caden had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 370
= $2590
(b)
Amount that Caden spent on the sweater
=
58 x 0.4 u
= 0.25 u
Fraction of Caden's original amount that he spent on a sweater
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $2590; (b)
14 
