Cody and Japheth have some money. If Cody gives $373 to Japheth, the ratio of their money will be 3 : 5. If Cody gives $548 to Japheth, the ratio of their money will be 1: 4. How much does Cody have?
| |
Case 1 |
Case 2 |
| |
Cody |
Japheth |
Cody |
Japheth |
| Before |
15 u + $373 |
25 u - $373 |
8 u + $548 |
32 u - $548 |
| Change |
- $373 |
+ $373 |
- $548 |
+ $548 |
After
|
3x5 =
15 u |
5x5 =
25 u |
1x8 =
8 u |
4x8 =
32 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 8 and 5 is 40.
The amount that Cody has at first is the same in both cases.
15 u + 373 = 8 u + 548
15 u - 8 u = 548 - 373
7 u = 175
1 u = 175 ÷ 7 = 25
Amount that Cody has
= 15 u + 373
= 15 x 25 + 373
= 375 + 373
= $748
Answer(s): $748
