Adam has green and red stickers in the ratio of 1 : 2.
When 54 red stickers are replaced with the same number of green stickers,
the ratio of the number of green and red stickers will be 5 : 8
How many stickers are there altogether?
|
Green |
Red |
Total |
Before |
1 x 13 = 13 u |
2 x 13 = 26 u |
3 x 13 = 39 u |
Change |
+ 54 |
- 54 |
|
After |
5 x 3 = 15 u |
8 x 3 = 24 u |
13 x 3 = 39 u |
When 54 red stickers are replaced with the same number of green stickers, the total number of stickers remains unchanged.
Make the total number of stickers the same using the LCM of 3 and 13.
LCM of 3 and 13 = 39
Number of red stickers that is replaced by green stickers
= 15 u - 13 u
= 2 u
2 u = 54
1 u = 54 ÷ 2 = 27
Total number of stickers
= 39 u
= 39 x 27
= 1053
Answer(s): 1053