The number of green and blue marbles is 54 and 198 respectively.
Ratio:
In Mathematics, the ratio contrasts two quantities by the method of division. In simple words, we can say that the simplified form of two quantities of the same units is mentioned as a ratio.
A ratio gives a relation that how many times one quantity is equal to the other quantity. The symbol ':' denotes the ratio and the ratio will be expressed as a:b
Here we have,
The ratio of green marbles to blue marbles is 3:11
Number of Marbles = 252
Since the ratio of green to blue marbles is 3:11, Let 3x and 11x be the number of green and blue marbles respectively.
As we know the total number of marbles is 252
=> 3x + 11x = 252
=> 14x = 252
=> x = 252/14 = 18
=> Number of green marbles, 3x = 3(18) = 54
=> Number of blue marbles, 11x = 11(18) = 198
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