Adam has red and green stickers in the ratio of 1 : 3.
When 55 green stickers are replaced with the same number of red stickers,
the ratio of the number of red and green stickers will be 4 : 7
How many stickers are there altogether?
|
Red |
Green |
Total |
Before |
1 x 11 = 11 u |
3 x 11 = 33 u |
4 x 11 = 44 u |
Change |
+ 55 |
- 55 |
|
After |
4 x 4 = 16 u |
7 x 4 = 28 u |
11 x 4 = 44 u |
When 55 green stickers are replaced with the same number of red stickers, the total number of stickers remains unchanged.
Make the total number of stickers the same using the LCM of 4 and 11.
LCM of 4 and 11 = 44
Number of green stickers that is replaced by red stickers
= 16 u - 11 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Total number of stickers
= 44 u
= 44 x 11
= 484
Answer(s): 484