Adam has 40 blue beads and 250 green beads.
After buying the same number of beads,
the ratio of the blue beads and the green beads becomes 3 : 5.
How many beads does he buy?
|
Blue |
Green |
Difference |
Before |
40 |
250 |
210 |
Change |
+ ? |
+ ? |
|
After |
3 u |
5 u |
2 u |
At first
Difference in the number of beads
= 250 - 40
= 210
In the end
Number of blue beads = 3 u
Number of green beads = 5 u
Difference in the number of beads in units
= 5 u - 3 u
= 2 u
The difference in the number of beads between the blue beads and the green beads remains unchanged.
2 u = 210
1 u = 210 ÷ 2 = 105
Number of blue beads that Adam buys
= 3 u - 40
= 3 x 105 - 40
= 315 - 40
= 275
Total number of beads that Adam buys
= 2 x 275
= 550
Answer(s): 550