Rael and Ethan had some stamps in the ratio of 11 : 2. Ethan and Eric had some stamps in the ratio of 3 : 1. Rael sold 360 stamps to Eric and ended up with half the number of stamps Ethan had. How many stamps did Eric have in the end?
| Rael |
Ethan |
Eric |
| 11x3 |
2x3 |
|
| |
3x2 |
1x2 |
| 33 u |
6 u |
2 u |
The number of stamps that Ethan had at first is repeated. Make the number of stamps that Ethan had at first the same. LCM of 2 and 3 is 6.
| |
Rael |
Ethan |
Eric |
| Before |
33 u |
6 u |
2 u |
| Change |
- 360 |
|
+ 360 |
| After |
3 u |
6 u |
2 u + 360 |
Number of stamps that Rael had in the end
= 6 u ÷ 2
= 3 u
Number of stamps that Rael sold to Eric
= 33 u - 3 u
= 30 u
30 u = 360
1 u = 360 ÷ 30 = 12
Number of stamps that Eric had in the end
= 2 u + 360
= 2 x 12 + 360
= 24 + 360
= 384
Answer(s): 384
