Andy and Zeph have some money. If Andy gives $351 to Zeph, the ratio of their money will be 3 : 5. If Andy gives $694 to Zeph, the ratio of their money will be 1: 4. How much does Andy have?
| |
Case 1 |
Case 2 |
| |
Andy |
Zeph |
Andy |
Zeph |
| Before |
15 u + $351 |
25 u - $351 |
8 u + $694 |
32 u - $694 |
| Change |
- $351 |
+ $351 |
- $694 |
+ $694 |
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 Andy has at first is the same in both cases.
15 u + 351 = 8 u + 694
15 u - 8 u = 694 - 351
7 u = 343
1 u = 343 ÷ 7 = 49
Amount that Andy has
= 15 u + 351
= 15 x 49 + 351
= 735 + 351
= $1086
Answer(s): $1086
