Adam has 30 red beads and 160 green beads.
After buying the same number of beads,
the ratio of the red beads and the green beads becomes 2 : 7.
How many beads does he buy?
|
Red |
Green |
Difference |
Before |
30 |
160 |
130 |
Change |
+ ? |
+ ? |
|
After |
2 u |
7 u |
5 u |
At first
Difference in the number of beads
= 160 - 30
= 130
In the end
Number of red beads = 2 u
Number of green beads = 7 u
Difference in the number of beads in units
= 7 u - 2 u
= 5 u
The difference in the number of beads between the red beads and the green beads remains unchanged.
5 u = 130
1 u = 130 ÷ 5 = 26
Number of red beads that Adam buys
= 2 u - 30
= 2 x 26 - 30
= 52 - 30
= 22
Total number of beads that Adam buys
= 2 x 22
= 44
Answer(s): 44