Asher, Owen and Ryan have some stamps. The ratios of their stamps are as follows:
Asher : (Asher + Owen + Ryan) = 3 : 7
Owen : (Asher + Ryan) = 1 : 5
Ryan has 80 stamps more than Owen. In the end, Ryan gives away all he has to Owen and Asher so that both Owen and Asher end up with the same number of stamps, how many stamps has Asher received from Ryan?
Owen |
Ryan |
Asher |
Total |
4x6 |
3x6 |
7x6 |
1x7 |
5x7 |
6x7 |
7 u |
17 u |
18 u |
42 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 7 and 6 is 42.
Number of stamps that Ryan has more than Owen
= 17 u - 7 u
= 10 u
10 u = 80
1 u = 80 ÷ 10 = 8
|
Owen |
Ryan |
Asher |
Before |
7 u |
17 u |
18 u |
Change |
+ 14 u |
- 17 u |
+ 3 u |
After |
21 u |
0 u |
21 u |
Number of stamps that Asher has received from Ryan
= 21 u - 18 u
= 3 u
= 3 x 8
= 24
Answer(s): 24