Adam has 80 green marbles and 260 blue marbles.
After buying the same number of marbles,
the ratio of the green marbles and the blue marbles becomes 3 : 8.
How many marbles does he buy?
|
Green |
Blue |
Difference |
Before |
80 |
260 |
180 |
Change |
+ ? |
+ ? |
|
After |
3 u |
8 u |
5 u |
At first
Difference in the number of marbles
= 260 - 80
= 180
In the end
Number of green marbles = 3 u
Number of blue marbles = 8 u
Difference in the number of marbles in units
= 8 u - 3 u
= 5 u
The difference in the number of marbles between the green marbles and the blue marbles remains unchanged.
5 u = 180
1 u = 180 ÷ 5 = 36
Number of green marbles that Adam buys
= 3 u - 80
= 3 x 36 - 80
= 108 - 80
= 28
Total number of marbles that Adam buys
= 2 x 28
= 56
Answer(s): 56