Penelope had $162 more than Cody. Penelope spent
23 of her money and Cody spent
59 of his money. In the end, Cody and Penelope had the same amount of money left. Find the amount of money Cody had at first.
| |
Penelope |
Cody |
More |
Before |
3x4 =
12 u |
9 u |
3 u |
Change |
- 2x4 =
- 8 u |
- 5 u |
|
After |
1x4 =
4 u |
4 u |
|
Fraction of money that Penelope left
= 1 -
23 =
13 Fraction of money that Cody left
= 1 -
59 =
49 The amount of money that Cody and Penelope had in the end is the same. Make the amount of money that Cody and Penelope had in the end the same. LCM of 1 and 4 is 4.
Amount that Penelope had more than Cody at first
= 12 u - 9 u
= 3 u
3 u = 162
1 u = 162 ÷ 3 = 54
Amount that Cody had at first
= 9 u
= 9 x 54
= $486
Answer(s): $486
