Ken, Perry and Oscar have some stickers. The ratios of their stickers are as follows:
Ken : (Ken + Perry + Oscar) = 1 : 5
Perry : (Ken + Oscar) = 1 : 5
Oscar has 112 stickers more than Perry. In the end, Oscar gives away all he has to Perry and Ken so that both Perry and Ken end up with the same number of stickers, how many stickers has Perry received from Oscar?
Perry |
Oscar |
Ken |
Total |
4x6 |
1x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
19 u |
6 u |
30 u |
The total number of stickers is repeated. Make the total number of stickers the same. LCM of 5 and 6 is 30.
Number of stickers that Oscar has more than Perry
= 19 u - 5 u
= 14 u
14 u = 112
1 u = 112 ÷ 14 = 8
|
Perry |
Oscar |
Ken |
Before |
5 u |
19 u |
6 u |
Change |
+ 10 u |
- 19 u |
+ 9 u |
After |
15 u |
0 u |
15 u |
Number of stickers that Perry has received from Oscar
= 15 u - 5 u
= 10 u
= 10 x 8
= 80
Answer(s): 80