Tommy and Fabian have some money. If Tommy gives $225 to Fabian, the ratio of their money will be 2 : 5. If Tommy gives $504 to Fabian, the ratio of their money will be 1: 4. How much does Tommy have?
| |
Case 1 |
Case 2 |
| |
Tommy |
Fabian |
Tommy |
Fabian |
| Before |
10 u + $225 |
25 u - $225 |
7 u + $504 |
28 u - $504 |
| Change |
- $225 |
+ $225 |
- $504 |
+ $504 |
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 Tommy has at first is the same in both cases.
10 u + 225 = 7 u + 504
10 u - 7 u = 504 - 225
3 u = 279
1 u = 279 ÷ 3 = 93
Amount that Tommy has
= 10 u + 225
= 10 x 93 + 225
= 930 + 225
= $1155
Answer(s): $1155
