Brandon, Andy and Will have some marbles. The ratios of their marbles are as follows:
Brandon : (Brandon + Andy + Will) = 1 : 4
Andy : (Brandon + Will) = 1 : 5
Will has 25 marbles more than Andy. In the end, Will gives away all he has to Andy and Brandon so that both Andy and Brandon end up with the same number of marbles, how many marbles has Brandon received from Will?
Andy |
Will |
Brandon |
Total |
3x3 |
1x3 |
4x3 |
1x2 |
5x2 |
6x2 |
2 u |
7 u |
3 u |
12 u |
The total number of marbles is repeated. Make the total number of marbles the same. LCM of 4 and 6 is 12.
Number of marbles that Will has more than Andy
= 7 u - 2 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
|
Andy |
Will |
Brandon |
Before |
2 u |
7 u |
3 u |
Change |
+ 4 u |
- 7 u |
+ 3 u |
After |
6 u |
0 u |
6 u |
Number of marbles that Brandon has received from Will
= 6 u - 3 u
= 3 u
= 3 x 5
= 15
Answer(s): 15