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Bunuel
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The students in a class were asked to vote for their favourite subject 20 Apr 2023, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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45% (medium)

Question Stats:

73% (02:32) correct 27% (03:08) wrong based on 202 sessions

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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%


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C
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The students in a class were asked to vote for their favourite subject 20 Apr 2023, 03:52
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W:Y= 4a:5a = 12a:15a

Z:W= 5a:6a =10a:12a

X:Z= 13a:10a
Therefore, W=12a, Y=15a, Z= 10a, and X= 13a

W+Y+Z+X= 12a+15a+10a+13a= 50a=100
a=100/50=2
W= 12*2= 24%
Option C is the answer

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The students in a class were asked to vote for their favourite subject 20 Apr 2023, 09:48
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W -> Maths
X -> Science
Y -> History
Z -> Literature

Y = 5/4 W
Z = 5/6 W
X = 13/10 Z = (13/10)*(5/6)*W = 13/12 W

W:X:Y:Z = W:13/12W:5/4W:5/6W
Multiply by 24, => 24W:26W:30W:20W

W/(W+X+Y+Z) = 24W/(100W) = 24% = C
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The students in a class were asked to vote for their favourite subject 20 Apr 2023, 12:01
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Bunuel
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%
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\(W : Y = 4 : 5\)
\(Z : W = 5 : 6\) or \(W : Z = 6 : 5\)
\(X : Z = 13 : 10\)

\(W : Y = 4 : 5\) * 6 = \(W : Y = 24 : 30\)
\(W : Z = 6 : 5\) * 4 = \(W : Z = 24 : 20\)

So, \(W : Y : Z : 24 : 30 : 20\)

\(X : Z = 13 : 10\)*2 = \(X : Z = 26 : 20\)

Thus,\( W : Y : Z : X = 24 : 30 : 20 : 26\)

Hence, \(X + Y + Z = 100\)

Quote:
what percent of the students in the class voted for mathematics?.............W students voted for mathematics
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Hence, required % is 24%, Answer must be (C)
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The students in a class were asked to vote for their favourite subject 25 Apr 2023, 01:10
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W:Y:Z
12:15:10

W:Y:Z:X
12:15:10:13

Question = 12/(12+15+10+13) *100 = 12/50 *100 = 24%
Option C
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The students in a class were asked to vote for their favourite subject 18 Jun 2025, 13:28
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