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)

Question

Responses

85.8
85.8

86
86

85
85

81

Answer 1

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

Clariza's current grades are: 90, 82, 84, and 88.

1. First, we calculate her current total score: \[ 90 + 82 + 84 + 88 = 344 \]

2. Let \( x \) be the grade she needs on her final exam. After including the final exam, her total number of grades will be 5 (4 current grades + 1 final exam).

3. To have an average of 85, we set up the equation: \[ \frac{344 + x}{5} = 85 \]

4. Multiply both sides by 5 to eliminate the fraction: \[ 344 + x = 425 \]

5. Now, solve for \( x \): \[ x = 425 - 344 \] \[ x = 81 \]

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

The correct answer is 81.