A test in Science is scored the following way: each correct answer earns 10 points
while each wrong answer earns one point less. In a 30-item test, Rafael got 23 correct
answers and 7 wrong answers. What was his score?
c = correct answers
w = wrong answers
S = score
S = c ∙ 10 - w ∙ 1
S = 10 ∙ c - w = 10 ∙ 23 - 7 = 230 - 7 = 223
don't use it to a venm diagram, it's just a problem solving.
To calculate his score, we need to find the total number of points he earned for the correct answers and subtract the points deducted for the wrong answers.
The points earned for the correct answers:
23 correct answers * 10 points/answer = 230 points
The points deducted for the wrong answers:
7 wrong answers * 1 point/answer = 7 points
His score is:
230 points - 7 points = 223 points.
Therefore, Rafael's score is 223 points.
To calculate Rafael's score, we need to determine the points earned for the correct answers and the points deducted for the wrong answers.
For the correct answers:
Rafael got 23 correct answers, so the points earned for the correct answers would be 23 * 10 = 230 points.
For the wrong answers:
Rafael got 7 wrong answers. Since each wrong answer earns one point less, the points deducted for the wrong answers would be 7 * 1 = 7 points.
Now, we can calculate Rafael's score by subtracting the points deducted for wrong answers from the points earned for correct answers:
Score = Points earned for correct answers - Points deducted for wrong answers
Score = 230 - 7
Score = 223
Therefore, Rafael's score on the Science test is 223 points.