Cole, Rael and Ryan have some stamps. The ratios of their stamps are as follows:
Cole : (Cole + Rael + Ryan) = 1 : 3
Rael : (Cole + Ryan) = 1 : 5
Ryan has 16 stamps more than Rael. In the end, Ryan gives away all he has to Rael and Cole so that both Rael and Cole end up with the same number of stamps, how many stamps has Rael received from Ryan?
Rael |
Ryan |
Cole |
Total |
2x2 |
1x2 |
3x2 |
1x1 |
5x1 |
6x1 |
1 u |
3 u |
2 u |
6 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 3 and 6 is 6.
Number of stamps that Ryan has more than Rael
= 3 u - 1 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
|
Rael |
Ryan |
Cole |
Before |
1 u |
3 u |
2 u |
Change |
+ 2 u |
- 3 u |
+ 1 u |
After |
3 u |
0 u |
3 u |
Number of stamps that Rael has received from Ryan
= 3 u - 1 u
= 2 u
= 2 x 8
= 16
Answer(s): 16