Regina scores an 84% on her math test. She answered 63 questions correctly. How many questions were answered incorrectly?

Question

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Answer 1

84 percent = 63

100 percent = x

Let's do some cross multiplication

84*x = 63*100

x = 6300/84

x=75

So, total number of questions = x =75

Number of incorrect answers = total - correct = 75-63 = 12

Answer 2

Let x = total number of questions

 

Translate:

 " 84% on her math test . . . answered 63 questions correctly"  means

      (84/100)x                   =                63

     [note: 84% may be 0.84 or (84/100) as needed by the problem]

 

The math:

    (84/100)x = 63

     x = (63)(100/84)             [multiply both sides by (100/84)]

     x =  75     total questions

 

75 - 63 = 12 questions answered incorrectly

Answer 3

84% is equivalent to 63 correct questions.

 

Divide both sides by 84% to normalize:

 

84%/84%  =  63/84%

1 = 75

 

This means that 100% would be equivalent to 75 questions correct

 

From here, subtract 75-63