Andy, Nick and Harry have some marbles. The ratios of their marbles are as follows:
Andy : (Andy + Nick + Harry) = 1 : 5
Nick : (Andy + Harry) = 1 : 3
Harry has 18 marbles more than Nick. In the end, Harry gives away all he has to Nick and Andy so that both Nick and Andy end up with the same number of marbles, how many marbles has Nick received from Harry?
Nick |
Harry |
Andy |
Total |
4x4 |
1x4 |
5x4 |
1x5 |
3x5 |
4x5 |
5 u |
11 u |
4 u |
20 u |
The total number of marbles is repeated. Make the total number of marbles the same. LCM of 5 and 4 is 20.
Number of marbles that Harry has more than Nick
= 11 u - 5 u
= 6 u
6 u = 18
1 u = 18 ÷ 6 = 3
|
Nick |
Harry |
Andy |
Before |
5 u |
11 u |
4 u |
Change |
+ 5 u |
- 11 u |
+ 6 u |
After |
10 u |
0 u |
10 u |
Number of marbles that Nick has received from Harry
= 10 u - 5 u
= 5 u
= 5 x 3
= 15
Answer(s): 15