Warren and Brandon have some money. If Warren gives $205 to Brandon, the ratio of their money will be 3 : 5. If Warren gives $527 to Brandon, the ratio of their money will be 1: 4. How much does Warren have?
| |
Case 1 |
Case 2 |
| |
Warren |
Brandon |
Warren |
Brandon |
| Before |
15 u + $205 |
25 u - $205 |
8 u + $527 |
32 u - $527 |
| Change |
- $205 |
+ $205 |
- $527 |
+ $527 |
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 + 205 = 8 u + 527
15 u - 8 u = 527 - 205
7 u = 322
1 u = 322 ÷ 7 = 46
Amount that Warren has
= 15 u + 205
= 15 x 46 + 205
= 690 + 205
= $895
Answer(s): $895
