Adam has 50 red marbles and 230 blue marbles.
After buying the same number of marbles,
the ratio of the red marbles and the blue marbles becomes 2 : 7.
How many marbles does he buy?
|
Red |
Blue |
Difference |
Before |
50 |
230 |
180 |
Change |
+ ? |
+ ? |
|
After |
2 u |
7 u |
5 u |
At first
Difference in the number of marbles
= 230 - 50
= 180
In the end
Number of red marbles = 2 u
Number of blue marbles = 7 u
Difference in the number of marbles in units
= 7 u - 2 u
= 5 u
The difference in the number of marbles between the red marbles and the blue marbles remains unchanged.
5 u = 180
1 u = 180 ÷ 5 = 36
Number of red marbles that Adam buys
= 2 u - 50
= 2 x 36 - 50
= 72 - 50
= 22
Total number of marbles that Adam buys
= 2 x 22
= 44
Answer(s): 44