Asher and Ethan had some stamps in the ratio of 8 : 5. Ethan and Jeremy had some stamps in the ratio of 10 : 7. Asher sold 33 stamps to Jeremy and ended up with half the number of stamps Ethan had. How many stamps did Jeremy have in the end?
| Asher |
Ethan |
Jeremy |
| 8x2 |
5x2 |
|
| |
10x1 |
7x1 |
| 16 u |
10 u |
7 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 5 and 10 is 10.
| |
Asher |
Ethan |
Jeremy |
| Before |
16 u |
10 u |
7 u |
| Change |
- 33 |
|
+ 33 |
| After |
5 u |
10 u |
7 u + 33 |
Number of stamps that Asher had in the end
= 10 u ÷ 2
= 5 u
Number of stamps that Asher sold to Jeremy
= 16 u - 5 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Number of stamps that Jeremy had in the end
= 7 u + 33
= 7 x 3 + 33
= 21 + 33
= 54
Answer(s): 54
