Tom and Valen have some money. If Tom gives $149 to Valen, the ratio of their money will be 2 : 5. If Tom gives $521 to Valen, the ratio of their money will be 1: 4. How much does Tom have?
|
Case 1 |
Case 2 |
|
Tom |
Valen |
Tom |
Valen |
Before |
10 u + $149 |
25 u - $149 |
7 u + $521 |
28 u - $521 |
Change |
- $149 |
+ $149 |
- $521 |
+ $521 |
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 Tom has at first is the same in both cases.
10 u + 149 = 7 u + 521
10 u - 7 u = 521 - 149
3 u = 372
1 u = 372 ÷ 3 = 124
Amount that Tom has
= 10 u + 149
= 10 x 124 + 149
= 1240 + 149
= $1389
Answer(s): $1389