Melinda's first two test grades in Psychology were 87 and 94. What does she need to make on the third test to maintain an average of at least 90?

To find out what Melinda needs to score on her third test to maintain an average of at least 90, we can set up the following equation.

### Step 1: Set up the equation for the average.

The formula for the average of three test scores is:

\[
\text{Average} = \frac{\text{Score}_1 + \text{Score}_2 + \text{Score}_3}{3}
\]

We are given:
- \(\text{Score}_1 = 87\)
- \(\text{Score}_2 = 94\)
- \(\text{Average} \geq 90\)

Let \(\text{Score}_3 = x\), the score she needs on the third test.

So the equation becomes:

\[
\frac{87 + 94 + x}{3} \geq 90
\]

### Step 2: Solve the inequality.

1. Multiply both sides by 3 to eliminate the denominator:
   \[
   87 + 94 + x \geq 270
   \]

2. Simplify the left side:
   \[
   181 + x \geq 270
   \]

3. Subtract 181 from both sides to isolate \(x\):
   \[
   x \geq 270 - 181
   \]
   \[
   x \geq 89
   \]

### Conclusion:
Melinda needs to score at least **89** on her third test to maintain an average of at least 90.

Would you like more details or have any questions about this solution?

### Related Questions:
1. How do you calculate the average of more than three test scores?
2. What if Melinda wanted an average higher than 90? How would that change the required score?
3. How does dropping the lowest score affect the average?
4. What strategies can help improve test scores consistently?
5. How do weighted averages differ from simple averages in grade calculations?

**Tip:** Always double-check the required average calculation by plugging the final score back into the original average formula.

Discover how to calculate the score Melinda needs on her third test to maintain an average of at least 90. Step-by-step solution using arithmetic and inequality concepts. Suitable for Grades 6-8.

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