Question

Regina scored 84% on a test. She answered 63 items correctly. How many items did Regina answer incorrectly?

Answer 1

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=12

Answer 2

STEP 1:
Find total number of questions on the test. The percent (84%) is out of 100%. So set up a proportion. 84% out of 100% is 63 out of x (total number of questions on the test).

x= total # questions on test

63/x= 84%/100%
cross multiply
(63*100)= (x*84)
6300= 84x
divide both sides by 84
75= x (total # on test)

STEP 2:
Subtract number correct from total number of questions to equal number incorrect.

x= number incorrect on test

x= 75 - 63
x= 12 incorrect answers

ANSWER: 12 incorrect answers

Hope this helps! :)