Adam has blue and green stickers in the ratio of 1 : 4.
When 91 green stickers are replaced with the same number of blue stickers,
the ratio of the number of blue and green stickers will be 3 : 5
How many stickers are there altogether?
|
Blue |
Green |
Total |
Before |
1 x 8 = 8 u |
4 x 8 = 32 u |
5 x 8 = 40 u |
Change |
+ 91 |
- 91 |
|
After |
3 x 5 = 15 u |
5 x 5 = 25 u |
8 x 5 = 40 u |
When 91 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 5 and 8.
LCM of 5 and 8 = 40
Number of green stickers that is replaced by blue stickers
= 15 u - 8 u
= 7 u
7 u = 91
1 u = 91 ÷ 7 = 13
Total number of stickers
= 40 u
= 40 x 13
= 520
Answer(s): 520