Warren and Howard have some money. If Warren gives $251 to Howard, the ratio of their money will be 3 : 5. If Warren gives $503 to Howard, the ratio of their money will be 1: 4. How much does Warren have?
| |
Case 1 |
Case 2 |
| |
Warren |
Howard |
Warren |
Howard |
| Before |
15 u + $251 |
25 u - $251 |
8 u + $503 |
32 u - $503 |
| Change |
- $251 |
+ $251 |
- $503 |
+ $503 |
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 Warren has at first is the same in both cases.
15 u + 251 = 8 u + 503
15 u - 8 u = 503 - 251
7 u = 252
1 u = 252 ÷ 7 = 36
Amount that Warren has
= 15 u + 251
= 15 x 36 + 251
= 540 + 251
= $791
Answer(s): $791
