Adam has 90 blue marbles and 270 red marbles.
After buying the same number of marbles,
the ratio of the blue marbles and the red marbles becomes 3 : 7.
How many marbles does he buy?
|
Blue |
Red |
Difference |
Before |
90 |
270 |
180 |
Change |
+ ? |
+ ? |
|
After |
3 u |
7 u |
4 u |
At first
Difference in the number of marbles
= 270 - 90
= 180
In the end
Number of blue marbles = 3 u
Number of red marbles = 7 u
Difference in the number of marbles in units
= 7 u - 3 u
= 4 u
The difference in the number of marbles between the blue marbles and the red marbles remains unchanged.
4 u = 180
1 u = 180 ÷ 4 = 45
Number of blue marbles that Adam buys
= 3 u - 90
= 3 x 45 - 90
= 135 - 90
= 45
Total number of marbles that Adam buys
= 2 x 45
= 90
Answer(s): 90