A Theater has a seating capacity of 900 and charges $2 for children, $3 for students, and $4 for...

Question:

A Theater has a seating capacity of 900 and charges $2 for children, $3 for students, and $4 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined, the receipts totaled $2800. How many children attended the show? Solve with Gauss method.

Gaussian Elimination:

In Gaussian elimination, we construct an augmented matrix and perform row reduction methods until we have a triangular matrix. This method is useful in finding solutions to systems of equation. This method was named after Carl Friedrich Gauss.

Answer and Explanation:

For this problem, we need to identify the system of equations that we are going to solve.

Let {eq}x = {/eq} number of children, {eq}y = {/eq} number...

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How to Solve Linear Systems Using Gaussian Elimination

from Algebra II Textbook

Chapter 10 / Lesson 6
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