Question

going into the final exam, which will count as two tests, sharon has test scores of 77, 86, 70, 63, and 96. what score does sharon need on the final in order to have an average score of 80? sharon needs a score of

Explanation:

Step1: Define total tests & target sum

Let $x$ = final exam score. Final counts as 2 tests, so total tests = $5 + 2 = 7$. Target total sum: $80 \times 7 = 560$

Step2: Calculate sum of current scores

Sum of existing scores: $77 + 86 + 70 + 63 + 96 = 392$

Step3: Set up equation for total sum

Total sum = current sum + $2x$ (final counts twice):
$$392 + 2x = 560$$

Step4: Solve for $x$

Subtract 392 from both sides:
$$2x = 560 - 392 = 168$$
Divide by 2:
$$x = \frac{168}{2} = 84$$

Answer:

84