Eric, Valen and Ivan have some marbles. The ratios of their marbles are as follows:
Eric : (Eric + Valen + Ivan) = 3 : 7
Valen : (Eric + Ivan) = 1 : 5
Ivan has 30 marbles more than Valen. In the end, Ivan gives away all he has to Valen and Eric so that both Valen and Eric end up with the same number of marbles, how many marbles has Valen received from Ivan?
Valen |
Ivan |
Eric |
Total |
4x6 |
3x6 |
7x6 |
1x7 |
5x7 |
6x7 |
7 u |
17 u |
18 u |
42 u |
The total number of marbles is repeated. Make the total number of marbles the same. LCM of 7 and 6 is 42.
Number of marbles that Ivan has more than Valen
= 17 u - 7 u
= 10 u
10 u = 30
1 u = 30 ÷ 10 = 3
|
Valen |
Ivan |
Eric |
Before |
7 u |
17 u |
18 u |
Change |
+ 14 u |
- 17 u |
+ 3 u |
After |
21 u |
0 u |
21 u |
Number of marbles that Valen has received from Ivan
= 21 u - 7 u
= 14 u
= 14 x 3
= 42
Answer(s): 42