Question

Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.

Write an equation to determine the total number of questions (q) on Tim's math test.

Find the total number of questions on his math test.

Answer 1

I THINK this is how you do it:

4q=76
q=19

19+10 (wrong answers)=29

There was 29 questions in Tim’s test.

Answer 2

`q-10=(76)/(4)`

Total number of questions, q, is 29

Explanation:

Given,

The number of wrong questions he solved = 10,

Let q be the total number of questions,

∵ All questions are attempted,

So, the correct answer questions = total questions - wrong answer questions = q - 10,

Now, the score for each correct answer = 4 points,

Total points = 76,

If there is no penalty for wrong answer,

Then the correct answer questions =
`\frac{\text{Total score}}{\text{score for each correct answer}}`

`=(76)/(4)`

`\implies q - 10 =(76)/(4)`

Which is the required equation to determine the total number of questions (q) on Tim's math test.

By solving,

`q-10=19\implies q = 19 +10 = 29`

Hence, the total number of questions are 29.