Cody and Julian have some money. If Cody gives $247 to Julian, the ratio of their money will be 2 : 5. If Cody gives $700 to Julian, the ratio of their money will be 1: 4. How much does Cody have?
| |
Case 1 |
Case 2 |
| |
Cody |
Julian |
Cody |
Julian |
| Before |
10 u + $247 |
25 u - $247 |
7 u + $700 |
28 u - $700 |
| Change |
- $247 |
+ $247 |
- $700 |
+ $700 |
After
|
2x5 =
10 u |
5x5 =
25 u |
1x7 =
7 u |
4x7 =
28 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 7 and 5 is 35.
The amount that Cody has at first is the same in both cases.
10 u + 247 = 7 u + 700
10 u - 7 u = 700 - 247
3 u = 453
1 u = 453 ÷ 3 = 151
Amount that Cody has
= 10 u + 247
= 10 x 151 + 247
= 1510 + 247
= $1757
Answer(s): $1757
