Adam has 40 blue beads and 150 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 |
150 |
110 |
Change |
+ ? |
+ ? |
|
After |
3 u |
5 u |
2 u |
At first
Difference in the number of beads
= 150 - 40
= 110
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 = 110
1 u = 110 ÷ 2 = 55
Number of blue beads that Adam buys
= 3 u - 40
= 3 x 55 - 40
= 165 - 40
= 125
Total number of beads that Adam buys
= 2 x 125
= 250
Answer(s): 250