Ivan, Xavier and Eric have some stamps. The ratios of their stamps are as follows:
Ivan : (Ivan + Xavier + Eric) = 1 : 5
Xavier : (Ivan + Eric) = 1 : 5
Eric has 112 stamps more than Xavier. In the end, Eric gives away all he has to Xavier and Ivan so that both Xavier and Ivan end up with the same number of stamps, how many stamps has Ivan received from Eric?
Xavier |
Eric |
Ivan |
Total |
4x6 |
1x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
19 u |
6 u |
30 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 5 and 6 is 30.
Number of stamps that Eric has more than Xavier
= 19 u - 5 u
= 14 u
14 u = 112
1 u = 112 ÷ 14 = 8
|
Xavier |
Eric |
Ivan |
Before |
5 u |
19 u |
6 u |
Change |
+ 10 u |
- 19 u |
+ 9 u |
After |
15 u |
0 u |
15 u |
Number of stamps that Ivan has received from Eric
= 15 u - 6 u
= 9 u
= 9 x 8
= 72
Answer(s): 72