Question

there are 25 questions in a math quiz. 6 marks are awarded for every correct answer. 3 marks are deducted for each wrong answer. no marks are awarded for every unanswered question. Kevin scores 90 marks for the test. how many questions are left unanswered?

Answer 1

Answer:

The answer is 10 Questions

Answer 2

Step-by-step explanation:

There are 25 questions in a math quiz. 6 marks are awarded for every correct answer. 3 marks are deducted for each wrong answer. no marks are awarded for every unanswered question. Kevin scores 90 marks for the test. how many questions are left unanswered?

• Let the number of questions answered correctly by Kevin be x
• Let the number of questions answered wrongly by Kevin be y
• So unanswered Questions will be = 25 – x – y
•                               Now 6x – 3y = 90
•                                 assume x = 15
•                                So 6(15) – 3y = 90
•                                       3y = 0
•                                        y = 0
• Therefore minimum correct answer by Kevin = 15
•    then total questions unanswered will be 25 – x – y
•                                                                25 – 15 – 0
•                                                                   = 10
•    Similarly assume x = 16
•                                             6x – 3y = 90
•                                              6(16) – 3y = 90
•                                                  96 – 90 = 3y
•                                                      y = 2
•     So total questions unanswered will be  
•                                                25 – x – y
•                                                25 – 16 – 2
•                                                     = 7
• Similarly for 17 and 18 we get 4 and 1
• So the possible solutions for questions left unanswered will be 10,7,4 and 1

Reference link will be

https://brainly.in/question/22740189