Wendy had 4 times as much money as Cody. After Wendy spent
15 of her money and Cody spent
25 of his money, they had a total of $2071 left.
- How much money did Wendy and Cody have altogether at first?
- Cody spent 34 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Wendy |
Cody |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 0.8 u |
- 0.4 u |
|
| After |
3.2 u |
0.6 u |
$2071 |
(a)
Amount that Wendy spent
=
15 x 4 u
= 0.8 u
Amount that Cody spent
=
25 x 1 u
= 0.4 u
Amount that Wendy and Cody spent
= 0.8 u + 0.4 u
= 3.8 u
3.8 u = 2071
1 u = 2071 ÷ 3.8 = 545
Amount that Wendy and Cody had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 545
= $2725
(b)
Amount that Cody spent on the jacket
=
34 x 0.6 u
= 0.45 u
Fraction of Cody's original amount that he spent on a jacket
=
0.451 =
0.45 x 1001 x 100=
45100=
920 Answer(s): (a) $2725; (b)
920 
