10. the ratio of green marbles to blue marbles is 3:11 . if there are 252 marbles in total, how many green marbles are there?

Respuesta :

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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