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Fred completes a test which consists of 20 questions. There are only 2-point questions and 5-point questions in the test. The total points for the test is 58 points. How many 2-point questions are there in the test?

 Apr 13, 2021
 #1
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Let  x  be  the  number  of  2-point questions....then   20-x  =  the number of 5-point questions

 

So

 

2x   +  5 (20  - x)   =   58      simplify

 

2x  + 100  - 5x   =  58

 

2x - 5x  =   58  - 100

 

-3x  =  - 42

 

x =  -42 / -3  =    14  2-point questions

 

 

cool cool cool

 Apr 13, 2021

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