Nick and Rael have some money. If Nick gives $173 to Rael, the ratio of their money will be 3 : 5. If Nick gives $551 to Rael, the ratio of their money will be 1: 4. How much does Nick have?
| |
Case 1 |
Case 2 |
| |
Nick |
Rael |
Nick |
Rael |
| Before |
15 u + $173 |
25 u - $173 |
8 u + $551 |
32 u - $551 |
| Change |
- $173 |
+ $173 |
- $551 |
+ $551 |
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 Nick has at first is the same in both cases.
15 u + 173 = 8 u + 551
15 u - 8 u = 551 - 173
7 u = 378
1 u = 378 ÷ 7 = 54
Amount that Nick has
= 15 u + 173
= 15 x 54 + 173
= 810 + 173
= $983
Answer(s): $983
