Question

In a quiz competition, 10 points are awarded for every correct
answer, 5 points are deducted for every wrong answer. No points
are deducted for not attempting a question. Joanne attempted all 15 questions and scored 90 points in topal . find the number of questions answered incorectly by her.​

Answer 1

In the above Question , the following information is given -

In a quiz competition, -

10 points are awarded for every correct answer.

5 points are deducted for every wrong answer.

No points are deducted for not attempting a question.

Joanne attempted all 15 questions and scored 90 points in total .

To find -

Find the number of questions answered incorrectly by her .

Solution -

Here , from the given last statement , we can say that -

There are a total of 15 questions.

Thus , the total points that can be scored by her -

=> 15 × 10

=> 150 points .

Now ,

She scores 90 marks, attempting all question.

Thus , as 90 < 150, she has answered some questions incorrectly.

Thus ,

Suppose she answered x incorrect questions .

Number of correct questions answered -

=> ( 15 - x ) .

Now ,

10 points are awarded for every correct answer.

5 points are deducted for every wrong answer.

Thus , we can derive the following linear equation -

( 15 - x ) 10 - 5x = 90

=> 150 - 10x - 5x = 90

=> 15x = 60

=> x = 4 .

Thus , she must have answered 4 questions incorrectly and the rest 22 correctly.

This is the required answer .

______________________________

Answer 2

Answer:

12

Explanation:

the total poits of each qu