Final answer:
To determine the total number of questions on Tim's math test, you calculate the number of correct answers by dividing his total score by the points per answer, and then add the number of wrong answers. With 76 points total and 4 points per correct answer, Tim had 19 correct answers. Adding the 10 wrong answers, the total number of test questions is 29.
Step-by-step explanation:
To find the total number of questions on Tim's math test, we can use the information provided. Tim got [10] answers wrong and his score was [76] points. Since he earns [4] points for every correct answer, we can calculate the number of correct answers he had and then determine the total number of questions on the test.
First, let's find out how many points he earned from correct answers:
Total points from correct answers = Total score - (Points lost from wrong answers)
Since there is no penalty for wrong answers, points lost from wrong answers is 0. Therefore:
Total points from correct answers = 76
Now, let's determine the number of correct answers:
Number of correct answers = Total points from correct answers ÷ Points per correct answer
Number of correct answers = 76 ÷ 4
Number of correct answers = 19
Now, we can calculate the total number of questions on the test:
Total number of questions = Number of wrong answers + Number of correct answers
Total number of questions = 10 + 19
Total number of questions = 29
Therefore, the total number of questions on Tim's math test was 29.