Justin, Ryan and Owen have some stickers. The ratios of their stickers are as follows:
Justin : (Justin + Ryan + Owen) = 2 : 5
Ryan : (Justin + Owen) = 1 : 5
Owen has 88 stickers more than Ryan. In the end, Owen gives away all he has to Ryan and Justin so that both Ryan and Justin end up with the same number of stickers, how many stickers has Ryan received from Owen?
Ryan |
Owen |
Justin |
Total |
3x6 |
2x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
13 u |
12 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 Owen has more than Ryan
= 13 u - 5 u
= 8 u
8 u = 88
1 u = 88 ÷ 8 = 11
|
Ryan |
Owen |
Justin |
Before |
5 u |
13 u |
12 u |
Change |
+ 10 u |
- 13 u |
+ 3 u |
After |
15 u |
0 u |
15 u |
Number of stickers that Ryan has received from Owen
= 15 u - 5 u
= 10 u
= 10 x 11
= 110
Answer(s): 110