Use the table below that shows the number of kids registered...

Use the table below that shows the number of kids registered for baseball and softball. The Westfall Youth Baseball and Softball League charges the following registration fees: ages $7-8$ $\$ 45 ;$ ages $9-10, \$ 55 ;$ and ages $11-14, \$ 65$ $$ \begin{array}{|c|c|c|} \hline \text { Age } & \text { Baseball } & \text { Softball } \\ \hline 7-8 & 350 & 280 \\ \hline 9-10 & 320 & 165 \\ \hline 11-14 & 180 & 120 \\ \hline \end{array} $$ Find the total amount of money the league received from baseball and softball registrations.

Use the table below that shows the number of kids registered for baseball and softball.
The Westfall Youth Baseball and Softball League charges the following registration fees: ages $7-8$ $\$ 45 ;$ ages $9-10, \$ 55 ;$ and ages $11-14, \$ 65$
$$
\begin{array}{|c|c|c|}
\hline \text { Age } & \text { Baseball } & \text { Softball } \\
\hline 7-8 & 350 & 280 \\
\hline 9-10 & 320 & 165 \\
\hline 11-14 & 180 & 120 \\
\hline
\end{array}
$$
Find the total amount of money the league received from baseball and softball registrations.

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Key Concepts

Weighted Sum Calculation

This concept refers to the process of multiplying each group’s quantity by an associated weight (or fee) and then summing the results. It is a crucial strategy in problems where different groups contribute unequally to the total, reflecting varying levels of importance or cost.

Addition for Aggregation

Addition is essential for combining multiple computed values into a single overall total. After calculating individual amounts (such as fees from different age groups or registrations), addition aggregates these results to give the final sum.

Multiplication for Scaling

This concept entails using multiplication as a tool to scale values appropriately. In financial or registration fee problems, each group’s count is multiplied by a given fee or weight, allowing for the calculation of sub-totals before combining them for a grand total.

Data Interpretation

This concept involves reading and understanding information presented in structured formats like tables. It requires extracting key data points and recognizing how different categories or groups contribute to the overall information, which is essential for solving problems that involve multiple data sets.

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