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In an English test 24% of the students did not answered the same question and 10 students failed at that question, the number of the students who answered the question correctly is 1.5 times bigger than the number of students who did not answered the question. how many students were tested?

 Aug 30, 2014

Best Answer 

 #2
avatar+129849 
+10

Melody, I think we can set this up this way.....

Let x be the total number of students tested

Then, .24x ignored the question, 10 failed to answer it correctly, and 1.5(.24x) answered it correctly. So we have..........

.24x + 10 + 1.5(.24x) = x

.24x + 10 + .36x  = x

10 + .60x = x

10 = .40x

x = 25  = the total number of students tested

As a check    .24(25) = 6  and 1.5[.24(25)] = 9   and 6 + 10 + 9  = 25

 

 Aug 30, 2014
 #1
avatar+118667 
+5

Hi BlindxD

I don't think that I am understanding this question properly.

24% did not answer the question at all

The number who answered it correctly is 1.5 times this which is 36% of the total students.

That makes a total of 60% the rest DID attempt the question but got it wrong.

That means that 40% of all the students is 10 students.

Now if 40% of All = 10 then

All=10*100/40 = 25 student

I thought that there was a problem but it was only in my imagination.  This is fine. 

 Aug 30, 2014
 #2
avatar+129849 
+10
Best Answer

Melody, I think we can set this up this way.....

Let x be the total number of students tested

Then, .24x ignored the question, 10 failed to answer it correctly, and 1.5(.24x) answered it correctly. So we have..........

.24x + 10 + 1.5(.24x) = x

.24x + 10 + .36x  = x

10 + .60x = x

10 = .40x

x = 25  = the total number of students tested

As a check    .24(25) = 6  and 1.5[.24(25)] = 9   and 6 + 10 + 9  = 25

 

CPhill Aug 30, 2014
 #3
avatar+118667 
0

Thanks Chris mine was right. I was just too tired. I said 24% of 25 was not a full number but of course it is. Silly me, I'll probably fix it in the morning. :)

 Aug 30, 2014

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