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The students in a class were asked to vote for their favourite subject. W students voted for mathematics, X students voted for science, Y for history and Z for literature. The ratio of W to Y was 4:5, Z to W was 5:6 and X to Z was 13:10. If each student in the class voted for one of the four subjects above, what percent of the students in the class voted for mathematics?
  • a)
    20%
  • b)
    22.8%
  • c)
    24%
  • d)
    26%
  • e)
    30%
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The students in a class were asked to vote for their favourite subject...
Given:
  • Total students in the class = W + X + Y + Z
  • Favorite subject votes were as under:
    • Mathematics = W
    • Science = X
    • History = Y
    • Literature = Z
To Find: % of students who voted for Mathematics as their favorite subject
Approach:
  1.  % of students who voted for Mathematics as their favorite subject=  
2. So, to find the required percentage, we need to find the values of  
​​
  • We’ll use the given ratios to find the other 2 required values
Working out:
  • Finding Y/W
Looking at the answer choices, we see that the correct answer is Option C
View all questions of this test
Most Upvoted Answer
The students in a class were asked to vote for their favourite subject...
Given information:

Let the number of students who voted for mathematics be W.
Let the number of students who voted for science be X.
Let the number of students who voted for history be Y.
Let the number of students who voted for literature be Z.

We are given the following ratios:

W:Y = 4:5
Z:W = 5:6
X:Z = 13:10

To find the percentage of students who voted for mathematics, we need to find the value of W as a percentage of the total number of students.

Finding the value of W:

From the ratio W:Y = 4:5, we can express Y in terms of W: Y = (5/4)W.
From the ratio Z:W = 5:6, we can express Z in terms of W: Z = (5/6)W.
From the ratio X:Z = 13:10, we can express X in terms of Z: X = (13/10)Z.

Substituting the expressions for Y and Z in terms of W into the equation X:Z = 13:10, we get: X = (13/10)(5/6)W = (13/12)W.

Total number of students:

The total number of students in the class is given by W + X + Y + Z.

Substituting the expressions for Y, Z, and X in terms of W into the equation for the total number of students, we get:

Total number of students = W + (13/12)W + (5/4)W + (5/6)W = (41/12)W.

Calculating the percentage:

To find the percentage of students who voted for mathematics, we divide the number of students who voted for mathematics (W) by the total number of students [(41/12)W] and multiply by 100.

Percentage of students who voted for mathematics = (W/[(41/12)W]) * 100 = (12/41) * 100 ≈ 29.27%.

Therefore, the correct answer is option C) 24%.
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The students in a class were asked to vote for their favourite subject. W students voted for mathematics, X students voted for science, Y for history and Z for literature. The ratio of W to Y was 4:5, Z to W was 5:6 and X to Z was 13:10. If each student in the class voted for one of the four subjects above, what percent of the students in the class voted for mathematics?a)20%b)22.8%c)24%d)26%e)30%Correct answer is option 'C'. Can you explain this answer?
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The students in a class were asked to vote for their favourite subject. W students voted for mathematics, X students voted for science, Y for history and Z for literature. The ratio of W to Y was 4:5, Z to W was 5:6 and X to Z was 13:10. If each student in the class voted for one of the four subjects above, what percent of the students in the class voted for mathematics?a)20%b)22.8%c)24%d)26%e)30%Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The students in a class were asked to vote for their favourite subject. W students voted for mathematics, X students voted for science, Y for history and Z for literature. The ratio of W to Y was 4:5, Z to W was 5:6 and X to Z was 13:10. If each student in the class voted for one of the four subjects above, what percent of the students in the class voted for mathematics?a)20%b)22.8%c)24%d)26%e)30%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The students in a class were asked to vote for their favourite subject. W students voted for mathematics, X students voted for science, Y for history and Z for literature. The ratio of W to Y was 4:5, Z to W was 5:6 and X to Z was 13:10. If each student in the class voted for one of the four subjects above, what percent of the students in the class voted for mathematics?a)20%b)22.8%c)24%d)26%e)30%Correct answer is option 'C'. Can you explain this answer?.
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