Will, Oscar and Vincent have some erasers. The ratios of their erasers are as follows:
Will : (Will + Oscar + Vincent) = 1 : 3
Oscar : (Will + Vincent) = 1 : 5
Vincent has 22 erasers more than Oscar. In the end, Vincent gives away all he has to Oscar and Will so that both Oscar and Will end up with the same number of erasers, how many erasers has Oscar received from Vincent?
Oscar |
Vincent |
Will |
Total |
2x2 |
1x2 |
3x2 |
1x1 |
5x1 |
6x1 |
1 u |
3 u |
2 u |
6 u |
The total number of erasers is repeated. Make the total number of erasers the same. LCM of 3 and 6 is 6.
Number of erasers that Vincent has more than Oscar
= 3 u - 1 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
|
Oscar |
Vincent |
Will |
Before |
1 u |
3 u |
2 u |
Change |
+ 2 u |
- 3 u |
+ 1 u |
After |
3 u |
0 u |
3 u |
Number of erasers that Oscar has received from Vincent
= 3 u - 1 u
= 2 u
= 2 x 11
= 22
Answer(s): 22