There are 40 questions on a class test. Six points are given for each correct answer and three points are deducted for each wrong answer. Find the number of correct answers for a test score of 105.

Question

There are 40 questions on a class test. Six points are given for each correct answer and three points are deducted for each wrong answer. Find the number of correct answers for a test score of 105.

Answer 1

correct --- x

incorrect --- 40-x

6x - 3(40-x) = 105
6x - 120 + 3x = 105
9x = 225
x = 25

25 correct , 15 wrong

Answer 2

correct --> x

incorrect --> 40 - x

6x - 3(40 - x) = 105
6x - 120 + 3x = 105
9x = 225
x = 25

There are 25 questions correct, and there are 15 questions incorrect due to 40 - 25 being 15. It's math, so respect it.

Answer 3

Ah, the classic case of "multiple choice mischief." Let me crunch some numbers here with my laughter calculator. So, if we let x be the number of correct answers, we can represent your situation with the equation:

6x - 3(40 - x) = 105.

Now, let's simplify:

6x - 3(40 - x) = 105
6x - 120 + 3x = 105
9x - 120 = 105
9x = 225
x = 225/9
x = 25.

So, my friend, you would need to get 25 correct answers to achieve a score of 105. Seems like you're pretty sharp! Keep up the good work!

Answer 4

To find the number of correct answers for a test score of 105, we can set up an equation based on the given information.

Let's denote the number of correct answers as "x" and the number of incorrect answers as "y". Since there are a total of 40 questions on the test, we have:

x + y = 40 (equation 1)

Now, let's consider the scoring system. Each correct answer earns 6 points, and each incorrect answer deducts 3 points. So, the total score can be calculated as:

6x - 3y = 105 (equation 2)

Now we have a system of simultaneous equations. We can solve it to find the values of x and y.

To solve this system, we can use the method of substitution or elimination. In this case, let's use the method of substitution.

From equation 1, we can express y in terms of x:

y = 40 - x

Now substitute this value of y in equation 2:

6x - 3(40 - x) = 105

Simplifying the equation:

6x - 120 + 3x = 105

Combine like terms:

9x - 120 = 105

Add 120 to both sides:

9x = 225

Divide both sides by 9:

x = 25

Therefore, the number of correct answers for a test score of 105 is 25.

Answer 5

5-2(12-5)=39

5-24+2=39
7=63
9
I Need to know am I right