Adam has 60 blue beads and 220 red beads.
After buying the same number of beads,
the ratio of the blue beads and the red beads becomes 3 : 8.
How many beads does he buy?
|
Blue |
Red |
Difference |
Before |
60 |
220 |
160 |
Change |
+ ? |
+ ? |
|
After |
3 u |
8 u |
5 u |
At first
Difference in the number of beads
= 220 - 60
= 160
In the end
Number of blue beads = 3 u
Number of red beads = 8 u
Difference in the number of beads in units
= 8 u - 3 u
= 5 u
The difference in the number of beads between the blue beads and the red beads remains unchanged.
5 u = 160
1 u = 160 ÷ 5 = 32
Number of blue beads that Adam buys
= 3 u - 60
= 3 x 32 - 60
= 96 - 60
= 36
Total number of beads that Adam buys
= 2 x 36
= 72
Answer(s): 72