3. Quinn's test scores are 95, 90, and 83. What must he score on his next test to have an average test score of 90 on the four tests?

To determine what score Quinn needs on his next test to achieve an average of 90 across four tests, we can follow these steps:

### Step 1: Calculate the sum of Quinn's current test scores.
Quinn's current test scores are 95, 90, and 83. Let's find the sum of these scores:

\[
95 + 90 + 83 = 268
\]

### Step 2: Set up the equation for the average score.
The average score after four tests should be 90. The average is calculated by dividing the total sum of the scores by the number of tests (which will be 4):

\[
\frac{268 + x}{4} = 90
\]

where \( x \) is the score Quinn needs on his next test.

### Step 3: Solve for \( x \).
Multiply both sides by 4 to eliminate the fraction:

\[
268 + x = 90 \times 4
\]

\[
268 + x = 360
\]

Subtract 268 from both sides to find \( x \):

\[
x = 360 - 268
\]

\[
x = 92
\]

### Final Answer:
Quinn must score **92** on his next test to have an average of 90 across all four tests.

Would you like to see how changing one of the test scores would affect the required score on the next test? Here are some related questions you might find interesting:

1. What would Quinn's average be if he scored 100 on his next test?
2. How would the required score change if Quinn wanted an average of 95 instead?
3. What if Quinn’s lowest score was dropped from the average calculation—how would this affect the required score?
4. How does adding more tests with higher or lower scores affect the overall average?
5. What is the effect of weighting the tests differently on the average score?

**Tip:** Remember, averages can be tricky! Always consider how each additional score contributes to your goal.

Discover how to calculate Quinn's required score on his next test to achieve an average test score of 90 across four tests. Step-by-step solution provided with specific data points for grades 6-8.

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