Adam has green and red stickers in the ratio of 1 : 3.
When 66 red stickers are replaced with the same number of green stickers,
the ratio of the number of green and red stickers will be 5 : 7
How many stickers are there altogether?
|
Green |
Red |
Total |
Before |
1 x 3 = 3 u |
3 x 3 = 9 u |
4 x 3 = 12 u |
Change |
+ 66 |
- 66 |
|
After |
5 x 1 = 5 u |
7 x 1 = 7 u |
12 x 1 = 12 u |
When 66 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 4 and 12.
LCM of 4 and 12 = 12
Number of red stickers that is replaced by green stickers
= 5 u - 3 u
= 2 u
2 u = 66
1 u = 66 ÷ 2 = 33
Total number of stickers
= 12 u
= 12 x 33
= 396
Answer(s): 396