Bryan and Adam have some stickers in the ratio of 1 : 3.
When Adam gives Bryan 40 stickers,
the ratio of the stickers becomes 5 : 7.
How many stickers do they have together?
|
Bryan |
Adam |
Total |
Before |
1 x 3 = 3 u |
3 x 3 = 9 u |
4 x 3 = 12 u |
Change |
+ 40 |
- 40 |
|
After |
5 x 1 = 5 u |
7 x 1 = 7 u |
12 x 1 = 12 u |
When Adam gives Bryan 40 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 4 and 12.
LCM of 4 and 12 = 12
Number of stickers that Adam gives to Bryan
= 9 u - 7 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of stickers that they have together
= 12 u
= 12 x 20
= 240
Answer(s): 240