Bryan and Adam have some stickers in the ratio of 2 : 3.
When Adam gives Bryan 21 stickers,
the ratio of the stickers becomes 5 : 6.
How many stickers do they have together?
|
Bryan |
Adam |
Total |
Before |
2 x 11 = 22 u |
3 x 11 = 33 u |
5 x 11 = 55 u |
Change |
+ 21 |
- 21 |
|
After |
5 x 5 = 25 u |
6 x 5 = 30 u |
11 x 5 = 55 u |
When Adam gives Bryan 21 stickers, the total number of stickers at first and in the end remains unchanged.
Make the total number of stickers the same using the LCM of 5 and 11.
LCM of 5 and 11 = 55
Number of stickers that Adam gives to Bryan
= 33 u - 30 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Number of stickers that they have together
= 55 u
= 55 x 7
= 385
Answer(s): 385