Eric and Archie have some money. If Eric gives $386 to Archie, the ratio of their money will be 3 : 5. If Eric gives $582 to Archie, the ratio of their money will be 1: 4. How much does Eric have?
| |
Case 1 |
Case 2 |
| |
Eric |
Archie |
Eric |
Archie |
| Before |
15 u + $386 |
25 u - $386 |
8 u + $582 |
32 u - $582 |
| Change |
- $386 |
+ $386 |
- $582 |
+ $582 |
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 Eric has at first is the same in both cases.
15 u + 386 = 8 u + 582
15 u - 8 u = 582 - 386
7 u = 196
1 u = 196 ÷ 7 = 28
Amount that Eric has
= 15 u + 386
= 15 x 28 + 386
= 420 + 386
= $806
Answer(s): $806
