Adam and Bryan have some stickers in the ratio of 1 : 4.
When Bryan gives Adam 78 stickers,
the ratio of the stickers becomes 5 : 7.
How many stickers do they have together?
|
Adam |
Bryan |
Total |
Before |
1 x 12 = 12 u |
4 x 12 = 48 u |
5 x 12 = 60 u |
Change |
+ 78 |
- 78 |
|
After |
5 x 5 = 25 u |
7 x 5 = 35 u |
12 x 5 = 60 u |
When Bryan gives Adam 78 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 12.
LCM of 5 and 12 = 60
Number of stickers that Bryan gives to Adam
= 48 u - 35 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
Number of stickers that they have together
= 60 u
= 60 x 6
= 360
Answer(s): 360