Question

Three fourths of the questions on the test were multiple-choice. there were 60 multiple-choice questions. how many questions were on the test?

What percent of the questions on the test were not multiple-choice?

Answer 1

Questions on the test: 80 questions

Not multiple-choice questions: 25%

Explanation:

First, we will find how many questions are on the test. We will do this by creating a proportion knowing that three-fourths of the questions are MCQs.

`\displaystyle (3)/(4) =(60)/(x)`

Now, we can cross-multiply.

3x = 240

Lastly, divide both sides of the equation by 3:

x = 80 questions

Next, we can find what percentage was not multiple choice. Knowing that three-fourths of the questions are multiple-choice, we can find how many are not pretty easily by subtracting and multiplying by 100 (a decimal multiplied by 100 becomes a percent).

`\displaystyle ((4)/(4) -(3)/(4)) *100=(1)/(4) *100=0.25*100=25\%`