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In a test, all questions were of equal value. If you answered 9 of the first 10 questions correctly, but only 3/10 of the remaining questions correctly, you would have scored 50% for the whole test. Find the number of questions in the test.
Use an algebraic equation!

Respuesta :

Answer:

30

Step-by-step explanation:

let number of questions in the test be x

9 of the first 10 questions are correct

so only x-10 questions remain

3/10 of the (x-10) = 3/10(x-10) questions are correct

scored 50% for the whole test

so only half of x = x/2 questions are correct

combining the above:

9+3/10(x-10) = x/2

9+3/10x-3=x/2

9-3=(1/2-3/10)x

1/5x=6

x=30

Answer:

Step-by-step explanation:

We will set up an algebraic equation by counting the wrong answers.

Final score is 50% so half of the answers are wrong.

Let the number of question be x

x/2 answers are wrong.

There is 1 wrong answer in the first 10 questions.

Out of the (x-10) questions remaining, 3/10 are correct so 7/10 of them are wrong.

Adding them together, 1+7/10(x-10)=x/2

1+7/10x-7 = x/2

1/5x = 6

x = 30

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