Question 6

Only one of the four options is correct. Write the correct one.

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) 8

b) 19

c) 21

d) 22

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Solution

Given, the ratio of red marbles to blue marbles = 7 : 4
Let the number of red marbles = 7x
and blue marbles = 4x
Then, total number of marbles = 7x + 4x
= 11x
Total number of marbles must be multiple of 11
By observation,
$∴ 11 x = 22$
$\Rightarrow x = 2$
Hence, (d) is the correct option.

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Question 6

Only one of the four options is correct. Write the correct one.

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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(1) the selection of four red marbles;
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Question 6 Only one of the four options is correct. Write the correct one. 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) 8 b) 19 c) 21 d) 22

Given, the ratio of red marbles to blue marbles = 7 : 4 Let the number of red marbles = 7x and blue marbles = 4x Then, total number of marbles = 7x + 4x = 11x Total number of marbles must be multiple of 11 By observation, ∴ 11x=22 ⇒ x=2 Hence, (d) is the correct option.

Question 6

Only one of the four options is correct. Write the correct one.

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) 8

b) 19

c) 21

d) 22

Given, the ratio of red marbles to blue marbles = 7 : 4
Let the number of red marbles = 7x
and blue marbles = 4x
Then, total number of marbles = 7x + 4x
= 11x
Total number of marbles must be multiple of 11
By observation,
$∴ 11 x = 22$
$\Rightarrow x = 2$
Hence, (d) is the correct option.