Seth, Cole and Tommy have some stamps. The ratios of their stamps are as follows:
Seth : (Seth + Cole + Tommy) = 1 : 4
Cole : (Seth + Tommy) = 1 : 4
Tommy has 63 stamps more than Cole. In the end, Tommy gives away all he has to Cole and Seth so that both Cole and Seth end up with the same number of stamps, how many stamps has Cole received from Tommy?
Cole |
Tommy |
Seth |
Total |
3x5 |
1x5 |
4x5 |
1x4 |
4x4 |
5x4 |
4 u |
11 u |
5 u |
20 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 4 and 5 is 20.
Number of stamps that Tommy has more than Cole
= 11 u - 4 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
|
Cole |
Tommy |
Seth |
Before |
4 u |
11 u |
5 u |
Change |
+ 6 u |
- 11 u |
+ 5 u |
After |
10 u |
0 u |
10 u |
Number of stamps that Cole has received from Tommy
= 10 u - 4 u
= 6 u
= 6 x 9
= 54
Answer(s): 54