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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)!
Difficulty:
45%
(medium)
Question Stats:
74% (02:32) correct
26%
(03:04)
wrong
based on 198
sessions
History
Date
Time
Result
Not Attempted Yet
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%
A. 20%
B. 22.8%
C. 24%
D. 26%
E. 30%
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
Posted from my mobile device
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
Posted from my mobile device
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
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
