Adam has green and blue stickers in the ratio of 1 : 3.
When 20 blue stickers are replaced with the same number of green stickers,
the ratio of the number of green and blue stickers will be 4 : 7
How many stickers are there altogether?
|
Green |
Blue |
Total |
Before |
1 x 11 = 11 u |
3 x 11 = 33 u |
4 x 11 = 44 u |
Change |
+ 20 |
- 20 |
|
After |
4 x 4 = 16 u |
7 x 4 = 28 u |
11 x 4 = 44 u |
When 20 blue 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 11.
LCM of 4 and 11 = 44
Number of blue stickers that is replaced by green stickers
= 16 u - 11 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of stickers
= 44 u
= 44 x 4
= 176
Answer(s): 176