Adam has 80 blue marbles and 220 green marbles.
After buying the same number of marbles,
the ratio of the blue marbles and the green marbles becomes 3 : 7.
How many marbles does he buy?
|
Blue |
Green |
Difference |
Before |
80 |
220 |
140 |
Change |
+ ? |
+ ? |
|
After |
3 u |
7 u |
4 u |
At first
Difference in the number of marbles
= 220 - 80
= 140
In the end
Number of blue marbles = 3 u
Number of green 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 green marbles remains unchanged.
4 u = 140
1 u = 140 ÷ 4 = 35
Number of blue marbles that Adam buys
= 3 u - 80
= 3 x 35 - 80
= 105 - 80
= 25
Total number of marbles that Adam buys
= 2 x 25
= 50
Answer(s): 50