The average weight of the top 5 fish at a fishing tournament was 12.8 pounds. Some of the weights of the fish are shown in the table.
 
Top 5 Fish
Caught by	Weight (lb)
Wayne S.	?
Carla P.	12.8
Deb N.	12.8
Vincente R.	12.7
Armin G.	11.7

What was the weight of the heaviest fish?

To solve this problem, let's denote the unknown weight of Wayne S.'s fish as \( x \) pounds.

Given the average weight of the top 5 fish is 12.8 pounds, we can set up the following equation:

\[
\text{Average weight} = \frac{\text{Sum of weights}}{\text{Number of fish}}
\]

So, the sum of the weights of the top 5 fish is:

\[
\text{Sum of weights} = 12.8 \times 5 = 64 \text{ pounds}
\]

Now, let's add up the known weights:

\[
12.8 + 12.8 + 12.7 + 11.7 = 50 \text{ pounds}
\]

Now, to find Wayne S.'s fish weight \( x \), we use:

\[
x + 50 = 64
\]

Solving for \( x \):

\[
x = 64 - 50 = 14 \text{ pounds}
\]

Thus, the weight of Wayne S.'s fish, which is the heaviest, is **14 pounds**.

Would you like more details on any part of the solution? Here are five related questions you might find interesting:

1. How would the average change if Wayne's fish weighed 15 pounds instead?
2. What would the average weight be if the lightest fish was excluded?
3. How would you determine the median weight of these top 5 fish?
4. What would be the total weight of all the fish if the average weight were 13 pounds instead?
5. Can you determine the range of the fish weights from the information given?

**Tip:** When dealing with averages, always remember that the total sum is the average multiplied by the number of items.

The average weight of the top 5 fish at a fishing tournament was 12.8 pounds. Some of the weights of the fish are shown in the table.

Top 5 Fish
Caught by    Weight (lb)
Wayne S.    ?
Carla P.    12.8
Deb N.      12.8
Vincente R. 12.7
Armin G.    11.7

What was the weight of the heaviest fish?

Learn how to determine the weight of the heaviest fish in a tournament using the average weight of the top 5 fish. This problem involves algebraic concepts, including the calculation of averages. Suitable for students in Grades 6-8.

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