Question

1. Chris received a mark of 50% on a recent test Chris answered 13 of the first 20 questions correctly. Chris
also answered 25% of the remaining questions on the test correctly. If each question on the test was
worth one mark, how many questions in total were on the test?​

Answer 1

Step-by-step explanation:

Given 1. Chris received a mark of 50% on a recent test Chris answered 13 of the first 20 questions correctly. Chris also answered 25% of the   remaining questions on the test correctly. If each question on the test was  worth one mark, how many questions in total were on the test?​

        Assume that in a test there are p questions.

• According to the question Chris received a mark of 50% on a recent test.
• So he has answered 1/2 p of the given questions correctly.
• Also he has answered 13 out of first 20 questions correctly and 25% of the remaining questions.
• So there are p – 20 questions after the first 20 questions.
• So 25% of p – 20 questions will be 25/100 (p – 20)
• Therefore total number of questions Chris answered correctly can be written as  
• 1/2 p = 13 + 25/100 (p – 20)
• 1/2 p = 13 + 1/4 (p – 20)
• 1/2 p = 52 + (p – 20) / 4
• 2p = 52 + p – 20
• Or p = 32

Therefore total number of questions was 32

Reference link will be

https://brainly.in/question/18917598

Answer 2

Consider the total number of questions is x.

Since the obtained percentage is 50%,

And, 50% of x = $\frac{x}{2}$

Thus, the total number of correct answers = $\frac{x}{2}$

Out of 20 questions, the number of correct answers = 13.

Remaining questions = x - 20

Percentage of correct answers in the remaining questions = 25%

So, correct answers in the remaining questions= 25% of (x-20)

                                                                              =$\frac{25}{100}(x-20)$

Hence, the total correct answers = $13+\frac{25}{100}(x-20)$

This implies,

$13+\frac{25}{100}(x-20)=\frac{x}{2}$

        $13+\frac{x}{4}-5=\frac{x}{2}$

                      $8=\frac{x}{2}-\frac{x}{4}$

                      $8=\frac{x}{4}$

              $\implies x = 32$

Therefore, there would be 32 questions.