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A biology test is worth 100 points and has 36 questions.

a. Multiple-choice questions are worth 2 points each and essay questions are worth 6 points each. How many questions of each type are on the test?

b. Your friend says that it is possible for the multiple-choice questions to be worth 4 points each. Is your friend correct? Explain.

 Apr 2, 2020
 #1
avatar+112411 
+1

a. Let the  number  of  2 pt  questions =  N

So the  number of  pt  questions  =36 - N

 

So we have  that

 

2N + 6 (36 - N)  = 100   simplify

 

2N  + 216  -  6N =  100

 

-4N +  216  =100

 

-4N  =  -116      divide both sides  by  -4

 

N = 29   = 2 pt questions

 

36 - 29 =   7   =  6 pt questions

 

 

cool cool cool

 Apr 2, 2020
 #2
avatar+112411 
+1

b.  

 

Not possible

 

Total points would  be    =  36 * 4 =    144

 

But....test is only 100  points

 

 

cool cool cool

 Apr 2, 2020

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