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Recently, Frank took a one-hundred question aptitude test where each correct answer scored  7 points, each incorrect answer scored  -2 points, and each question not answered scored zero points. Frank answered 90 questions and scored  495 points. How many questions did he answer correctly?

 

 

Thank you so much!  

 Feb 10, 2021
 #1
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Let  the questions he answered correctly  =  x

 

Let  the one  he answered incorrectly  = 90 -  x

 

{ the ones he didn't answer don't matter  since they add  nothing to  the  total  points }

So

 

7x  -  2(90 - x)   =  495

 

7x  - 180  + 2x   = 495

 

9x - 180  =  495

 

9x =   495 + 180 

 

9x =  675

 

x  = 675 /  9    =   75   answered  correctly 

 

 

cool cool cool

 Feb 10, 2021

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