Caden and Henry have some money. If Caden gives $188 to Henry, the ratio of their money will be 3 : 5. If Caden gives $489 to Henry, the ratio of their money will be 1: 4. How much does Caden have?
| |
Case 1 |
Case 2 |
| |
Caden |
Henry |
Caden |
Henry |
| Before |
15 u + $188 |
25 u - $188 |
8 u + $489 |
32 u - $489 |
| Change |
- $188 |
+ $188 |
- $489 |
+ $489 |
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 Caden has at first is the same in both cases.
15 u + 188 = 8 u + 489
15 u - 8 u = 489 - 188
7 u = 301
1 u = 301 ÷ 7 = 43
Amount that Caden has
= 15 u + 188
= 15 x 43 + 188
= 645 + 188
= $833
Answer(s): $833
