Adam and Bryan have some stickers in the ratio of 1 : 4.
When Bryan gives Adam 28 stickers,
the ratio of the stickers becomes 5 : 6.
How many stickers do they have together?
|
Adam |
Bryan |
Total |
Before |
1 x 11 = 11 u |
4 x 11 = 44 u |
5 x 11 = 55 u |
Change |
+ 28 |
- 28 |
|
After |
5 x 5 = 25 u |
6 x 5 = 30 u |
11 x 5 = 55 u |
When Bryan gives Adam 28 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 Bryan gives to Adam
= 44 u - 30 u
= 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Number of stickers that they have together
= 55 u
= 55 x 2
= 110
Answer(s): 110