Adam and Bryan have some stickers in the ratio of 1 : 2.
When Bryan gives Adam 68 stickers,
the ratio of the stickers becomes 3 : 2.
How many stickers do they have together?
|
Adam |
Bryan |
Total |
Before |
1 x 5 = 5 u |
2 x 5 = 10 u |
3 x 5 = 15 u |
Change |
+ 68 |
- 68 |
|
After |
3 x 3 = 9 u |
2 x 3 = 6 u |
5 x 3 = 15 u |
When Bryan gives Adam 68 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 3 and 5.
LCM of 3 and 5 = 15
Number of stickers that Bryan gives to Adam
= 10 u - 6 u
= 4 u
4 u = 68
1 u = 68 ÷ 4 = 17
Number of stickers that they have together
= 15 u
= 15 x 17
= 255
Answer(s): 255