A student scores 74 out of 100 on a test,If the maximum score is 100. What score does the student need at least an average of 80?

How many tests?

To determine the score the student needs to achieve an average of 80, we can set up an equation.

Let's assume the student takes n tests with a maximum score of 100.

The total score the student gets in n tests would be n * 100, as the maximum score for each test is 100.

Now, let's consider the scenario where the student wants to have an average of 80 in all the tests, including the score of 74 already obtained.

The equation for the average score would be:

(sum of all scores) / (number of tests) = 80

We can express the sum of all scores by adding the score already obtained to the score the student needs to achieve:

(74 + score needed) / (n + 1) = 80

Simplifying this equation, we can multiply both sides by (n + 1):

74 + score needed = 80 * (n + 1)

Now, to solve for the score needed, subtract 74 from both sides:

score needed = 80 * (n + 1) - 74

Since we only know the student's current score (74) and the maximum score for each test (100), we cannot determine the exact value for n or the specific score needed without additional information. However, using this equation, you can now substitute the value of n or experiment with different values to find the score the student needs to achieve an average of 80.