the student council at metropolis middle school conducted a survey to see whether students would prefer blue, green or red as the new color for the sc

eddy2017

eddy2017

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the student council at metropolis middle school conducted a survey to see whether students would prefer blue, green or red as the new color for the school logo...

I am attaching here the problem with the graph.

my work
60 students were surveyed
66.66 % of the students surveyed preferred blue. ( 40/60 * 100) =66.66
50% preferred red

what percentage preferred green?
I am in doubt here.
the bar graph shows the 60 students preferred the green logo.
my doubt: is this possible
the 60 surveyed preferred green and then how come there is also a percent for the rest. Doesn't 60 equals 100 % here.
I'm posting the link too
page 11
thanks ,
eddy
 

Attachments

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It is confusing.
What percent is 60 of 60 ?.
60 /60 ×100
100 % preferred green?
My doubt is this: isn't 100% the whole?
Then does everyone prefers green ?.
Makes no sense to me or I am not seeing something.
 
The problem says only 60 students out of 970 were surveyed.
The final question would be what percent is 60 of 970
970/60*100
Approximately 6.18 percent of the s hool population was interviewed.
 
eddy2017 said:
The problem says only 60 students out of 970 were surveyed.
Click to expand...
I do not see that "stated" or "implied" in the problem!

The graph does imply certain "total" number of student surveyed (assuming students were allowed to "prefer" exactly 1 color)?

What is the "total" number of student surveyed?
 
According to the graph 60 students. The y axis of the graph reaches up to 60 .
 
eddy2017 said:
According to the graph 60 students. The y axis of the graph reaches up to 60 .
Click to expand...
You need to be careful reading graph.

According to the graph,

the number of students preferring Blue = 40

the number of students preferring Red = 30

the number of students preferring Green = 60

Assuming those were the only choices and assuming students were allowed to "prefer" exactly 1 color,

what is the total number of students "answering" the survey?
​
 
so 40 / 130 × 100 =30.77 preferred the blue logo

30/130*100 =23.07 preferred red

60/130*100= 46.15 preferred green.
 
130 is 13.4020618557% of 970
So a 13.40 % of the student population was surveyed
 
This is how I did it:
What percentage is 130 of 970
I set up a rule of 3 or proportion
[math]% amount[/math][math]100-----------970[/math][math]X--------------130[/math]
Solving for x
X=(100×130)/970
X=13.40
 
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