There are 30 questions on a math test.
5 points are awarded for each correct answer, and 2 points are deducted for each incorrect answer.
Tom scored 122 points on the test.
How many incorrect answers did Tom give?
pls give correct answer with steps
Answers
Given : The Total Number of Questions in the Quiz = 30
★ The Number of Incorrect Answers given by Angela will be : 30 - C
Given : 5 Marks are awarded for each Correct Answer
★ The Marks Angela gets for her 'C' Correct Answers will be :
Given : 2 Marks are deducted for each Incorrect Answer
★ Marks which get deducted for (30 - C) Incorrect Answers will be :
Given : Total Marks scored by Angela = 122
★ The Difference of Marks scored for Correct Answers and Marks deducted for Incorrect Answers should be equal to 122
★ Number of Correct Answers given by Angela = 26
★ Number of Incorrect Answers given by Angela = (30 - 26) = 4
Answer:
4 wrong answers
Step-by-step explanation:
total=30 questions
Tom's score=122 marks
Assume all of his answers are correct:
30x5-150 marks
150-122marks=28marks
Given: 5 marks are awarded for each correct answer n 2 marks r deducted for each incorrect answer
So, 5+2=7marks
Therefore, 28÷7=4 wrong answers