# In a box, the ratio of red marbles to blue marbles is 7:4. Which of the following could be the total number of marbles in the box?

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In a box, the ratio of red marbles to blue marbles is 7:4. Which of the following could be the total number of marbles in the box?

(A) 18 (B) 19 (C) 21 (D) 22

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(D) 22

From the question it is given that, the ratio of red marbles to blue marbles is 7:4.

Now, let us assume the common factor of 7 and 4 be x.

So, the total number of marbles in the box = 7x + 4x = 11x

Hence number of marbles in the box is a multiple of 11.

Therefore, 11 × 2 = 22