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 there in total?

Options:

Correct Answer: 60

Solution:

Let total questions = x. 80% of x = 40. x = 40 / 0.8 = 50.

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

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

Step 1: Understand that the student scored 80% on the test.
Step 2: Know that 80% means 80 out of 100, or 0.8 when expressed as a decimal.
Step 3: Let 'x' represent the total number of questions on the test.
Step 4: Since the student got 40 questions correct, we can write the equation: 0.8 * x = 40.
Step 5: To find 'x', we need to isolate it. We can do this by dividing both sides of the equation by 0.8.
Step 6: Calculate x by doing the division: x = 40 / 0.8.
Step 7: Perform the calculation: 40 divided by 0.8 equals 50.
Step 8: Conclude that the total number of questions on the test is 50.

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.