Alanna got 72%, 80%, and 94% on her assessments. what does she need to get on her 4th assessment to get and overall average of 86

To determine what Alanna needs to score on her fourth assessment to achieve an overall average of 86%, we can use the following steps.

The formula for the average of four assessments is:

\[
\text{Average} = \frac{S_1 + S_2 + S_3 + S_4}{4}
\]

Where \(S_1\), \(S_2\), and \(S_3\) are the scores she already has, and \(S_4\) is the unknown score she needs to achieve.

Given the scores:
- \(S_1 = 72\)
- \(S_2 = 80\)
- \(S_3 = 94\)

We know the desired average is 86. Plugging everything into the equation:

\[
86 = \frac{72 + 80 + 94 + S_4}{4}
\]

Now, let's solve for \(S_4\). 

\[
86 \times 4 = 72 + 80 + 94 + S_4
\]

\[
344 = 246 + S_4
\]

\[
S_4 = 344 - 246
\]

\[
S_4 = 98
\]

So, Alanna needs to score **98** on her fourth assessment to achieve an overall average of 86%.

Would you like further details or clarifications? Here are some related questions:

1. How do averages work in different scenarios?
2. What if Alanna had scored differently on one of her assessments?
3. How would the required score change if the desired average was different?
4. Can you explain weighted averages and how they differ?
5. What strategies can Alanna use to improve her scores?

**Tip:** Always check the total number of assessments or tests when calculating averages to ensure accuracy!

Alanna got 72%, 80%, and 94% on her assessments. What does she need to get on her 4th assessment to get an overall average of 86?

Find out what score Alanna needs on her 4th assessment to achieve an overall average of 86%. Given her previous scores of 72%, 80%, and 94%, this step-by-step solution explains how to use the average formula to determine the required score. Suitable for students in Grades 6-8.

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