Albert and Warren have some money. If Albert gives $118 to Warren, the ratio of their money will be 2 : 5. If Albert gives $640 to Warren, the ratio of their money will be 1: 4. How much does Albert have?
| |
Case 1 |
Case 2 |
| |
Albert |
Warren |
Albert |
Warren |
| Before |
10 u + $118 |
25 u - $118 |
7 u + $640 |
28 u - $640 |
| Change |
- $118 |
+ $118 |
- $640 |
+ $640 |
After
|
2x5 =
10 u |
5x5 =
25 u |
1x7 =
7 u |
4x7 =
28 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 7 and 5 is 35.
The amount that Albert has at first is the same in both cases.
10 u + 118 = 7 u + 640
10 u - 7 u = 640 - 118
3 u = 522
1 u = 522 ÷ 3 = 174
Amount that Albert has
= 10 u + 118
= 10 x 174 + 118
= 1740 + 118
= $1858
Answer(s): $1858
