Question

A test contains 50

multiple choice questions. Suppose that one gets 2
marks for every correct answer and 1
mark is deducted from the student’s score for every incorrect answer. If Robin attempted all the questions and scored 58
on the test, then find the number of questions he attempted correctly.

Answer 1

I don't know if it is correct.

Let's assume that the number of questions Robin attempted correctly is x.

For each correct answer, Robin gets 2 marks, so the total marks earned from correct answers would be 2x.

For each incorrect answer, 1 mark is deducted, so the total marks deducted would be 50 - x.

Given that Robin scored 58 on the test, we can set up the equation:

2x - (50 - x) = 58

Simplifying the equation:

2x - 50 + x = 58

3x - 50 = 58

3x = 58 + 50

3x = 108

x = 108 / 3

x = 36

Therefore, Robin attempted 36 questions correctly.