Clariza is looking to achieve a grade of mastery for her Algebra class, which is an average of 85. She has obtained a 90, 82, 84, and an 88. She has her final exam left to take. What grade must she get on her final so that her overall average is the exact grade of 85?(1 point) Responses 81 81 85 85 85.8 85.8 86

1 answer

To find out what grade Clariza needs on her final exam to achieve an average of 85, we can set up the following equation.

Let \( x \) be the grade she needs on her final exam.

The average is calculated as:

\[ \text{Average} = \frac{\text{Sum of all grades}}{\text{Total number of grades}} \]

In Clariza's case, she has already completed 4 assignments, and her final exam will be the 5th grade. The sum of her current grades is:

\[ 90 + 82 + 84 + 88 = 344 \]

Thus, the equation for achieving an average of 85 is:

\[ \frac{344 + x}{5} = 85 \]

Now, we can multiply both sides by 5 to eliminate the fraction:

\[ 344 + x = 425 \]

Next, we subtract 344 from both sides:

\[ x = 425 - 344 \]

\[ x = 81 \]

So, Clariza must score 81 on her final exam to achieve an overall average of 85.