Adam has 70 red stickers and 300 blue stickers.
After buying the same number of stickers,
the ratio of the red stickers and the blue stickers becomes 3 : 5.
How many stickers does he buy?
|
Red |
Blue |
Difference |
Before |
70 |
300 |
230 |
Change |
+ ? |
+ ? |
|
After |
3 u |
5 u |
2 u |
At first
Difference in the number of stickers
= 300 - 70
= 230
In the end
Number of red stickers = 3 u
Number of blue stickers = 5 u
Difference in the number of stickers in units
= 5 u - 3 u
= 2 u
The difference in the number of stickers between the red stickers and the blue stickers remains unchanged.
2 u = 230
1 u = 230 ÷ 2 = 115
Number of red stickers that Adam buys
= 3 u - 70
= 3 x 115 - 70
= 345 - 70
= 275
Total number of stickers that Adam buys
= 2 x 275
= 550
Answer(s): 550