Adam has blue and green stickers in the ratio of 1 : 2.
When 52 green stickers are replaced with the same number of blue stickers,
the ratio of the number of blue and green stickers will be 5 : 8
How many stickers are there altogether?
|
Blue |
Green |
Total |
Before |
1 x 13 = 13 u |
2 x 13 = 26 u |
3 x 13 = 39 u |
Change |
+ 52 |
- 52 |
|
After |
5 x 3 = 15 u |
8 x 3 = 24 u |
13 x 3 = 39 u |
When 52 green stickers are replaced with the same number of blue 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 green stickers that is replaced by blue stickers
= 15 u - 13 u
= 2 u
2 u = 52
1 u = 52 ÷ 2 = 26
Total number of stickers
= 39 u
= 39 x 26
= 1014
Answer(s): 1014