Jaslyn had 3 times as much money as Charlie. After Jaslyn spent
15 of her money and Charlie spent
25 of his money, they had a total of $1311 left.
- How much money did Jaslyn and Charlie have altogether at first?
- Charlie spent 512 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
|
Jaslyn |
Charlie |
Total |
Before |
3 u |
1 u |
|
Change |
- 0.6 u |
- 0.4 u |
|
After |
2.4 u |
0.6 u |
$1311 |
(a)
Amount that Jaslyn spent
=
15 x 3 u
= 0.6 u
Amount that Charlie spent
=
25 x 1 u
= 0.4 u
Amount that Jaslyn and Charlie spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1311
1 u = 1311 ÷ 3 = 437
Amount that Jaslyn and Charlie had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 437
= $1748
(b)
Amount that Charlie spent on the sweater
=
512 x 0.6 u
= 0.25 u
Fraction of Charlie's original amount that he spent on a sweater
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $1748; (b)
14