Ryan and Eric have some money. If Ryan gives $271 to Eric, the ratio of their money will be 3 : 5. If Ryan gives $537 to Eric, the ratio of their money will be 1: 4. How much does Ryan have?
| |
Case 1 |
Case 2 |
| |
Ryan |
Eric |
Ryan |
Eric |
| Before |
15 u + $271 |
25 u - $271 |
8 u + $537 |
32 u - $537 |
| Change |
- $271 |
+ $271 |
- $537 |
+ $537 |
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 Ryan has at first is the same in both cases.
15 u + 271 = 8 u + 537
15 u - 8 u = 537 - 271
7 u = 266
1 u = 266 ÷ 7 = 38
Amount that Ryan has
= 15 u + 271
= 15 x 38 + 271
= 570 + 271
= $841
Answer(s): $841
