Question

Ms porreca designed a true-false quiz. The ratio of true answers to false is 3:2. If there were a total 40 questions on the quiz, how many questions had false as answer?

Answer 1

We have been given that the ratio of true answers to false is 3:2.

Let 3x be total number of true answers and 2x be total number of false answers.

We are told that there are 40 questions in the quiz. We can set an equation from our given information as:

`3x+2x=40`

Let us solve for x.

`5x=40`

`x=(40)/(5) =8`

Since the total number of false answers is 2x, so we will substitute x=8 in this expression.

`\text{Number of questions had false as answer}=2*8=16`

Therefore, 16 questions had there answer as false.

Answer 2

The ratio of true answers to false is 3:2.

Let one part be k.

Then, the number of questions that had true as answer = 3k and

the number of questions that had false as answer = 2k.

Total number of questions = 40

Therefore, 3k + 2k = 40

5k = 40

Divide both sides by 5.

k = 40/5

= 8

Hence, the number of questions that had false as answer = 2k = 2(8) = 16.