c = correct answers
w = wrong answers
S = score
S = c ā 10 - w ā 1
S = 10 ā c - w = 10 ā 23 - 7 = 230 - 7 = 223
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?
w = wrong answers
S = score
S = c ā 10 - w ā 1
S = 10 ā c - w = 10 ā 23 - 7 = 230 - 7 = 223
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.
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.