A student scored 80% in a test and got 40 questions correct. How many questions

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Question: A student scored 80% in a test and got 40 questions correct. How many questions were on the test?

Options:

Correct Answer: 60

Solution:

Let total questions be x. 80% of x = 40. So, x = 40 / (80/100) = 50.

A student scored 80% in a test and got 40 questions correct. How many questions were on the test?

A student scored 80% in a test and got 40 questions correct. How many questions were on the test?

Step 1: Understand that the student scored 80% on the test.
Step 2: Know that 80% means 80 out of every 100 questions.
Step 3: Let the total number of questions on the test be represented by 'x'.
Step 4: Since the student got 40 questions correct, we can say that 80% of 'x' equals 40.
Step 5: Write the equation: 0.8 * x = 40.
Step 6: To find 'x', divide both sides of the equation by 0.8: x = 40 / 0.8.
Step 7: Calculate 40 divided by 0.8, which equals 50.
Step 8: Conclude that there were 50 questions on the test.

Percentage Calculation – Understanding how to calculate the total from a given percentage and a known quantity.
Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.