Question

A student scores 71 out of 100 on a test. If the maximum score on the next test is also 100 points, what score does the student need to maintain at least an average
of 82?
....

Answer 1

Answer:

93 points

Step-by-step explanation:

1. Set up the equation to find the mean/average.

• $\frac{71+x}{2} = 82$

2. (Solving)

Step 1: Multiply both sides by 2.

• $\frac{71+x}{2}*2 = 82 * 2$
• $71 + x = 164$

Step 2: Subtract 71 from both sides.

• $71 + x - 71 = 164 - 71$
• $x = 93$

Therefore, the student needs to score at least 93 points on a test to maintain an average of 82.