Joelle had 3 times as much money as Charlie. After Joelle spent
15 of her money and Charlie spent
25 of his money, they had a total of $1842 left.
- How much money did Joelle and Charlie have altogether at first?
- Charlie spent 14 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Joelle |
Charlie |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1842 |
(a)
Amount that Joelle spent
=
15 x 3 u
= 0.6 u
Amount that Charlie spent
=
25 x 1 u
= 0.4 u
Amount that Joelle and Charlie spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1842
1 u = 1842 ÷ 3 = 614
Amount that Joelle and Charlie had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 614
= $2456
(b)
Amount that Charlie spent on the sweater
=
14 x 0.6 u
= 0.15 u
Fraction of Charlie's original amount that he spent on a sweater
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $2456; (b)
320 
