Flynn, Nick and Wesley have some marbles. The ratios of their marbles are as follows:
Flynn : (Flynn + Nick + Wesley) = 2 : 5
Nick : (Flynn + Wesley) = 1 : 3
Wesley has 14 marbles more than Nick. In the end, Wesley gives away all he has to Nick and Flynn so that both Nick and Flynn end up with the same number of marbles, how many marbles has Nick received from Wesley?
Nick |
Wesley |
Flynn |
Total |
3x4 |
2x4 |
5x4 |
1x5 |
3x5 |
4x5 |
5 u |
7 u |
8 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 Wesley has more than Nick
= 7 u - 5 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
|
Nick |
Wesley |
Flynn |
Before |
5 u |
7 u |
8 u |
Change |
+ 5 u |
- 7 u |
+ 2 u |
After |
10 u |
0 u |
10 u |
Number of marbles that Nick has received from Wesley
= 10 u - 5 u
= 5 u
= 5 x 7
= 35
Answer(s): 35