A coaching institute of English (subject) conducts classes in two batches I and II and fees for rich and poor children are different. In batch I, it has 20 poor and 5 rich children and total monthly collection is Rs. 9,000, whereas in batch II, it has 5 poor and 25 rich children and total monthly collection is Rs. 26,000. Using matrix method, find monthly fees paid by each child of two types. What values the coaching institute is inculcating in the society ?

Explanation

To solve the problem using the matrix method, we need to set up the equations based on the information provided about the coaching institute's batches and their respective collections. Let's break down the solution step by step.

### Step 1: Define Variables
Let:
- \( x \) = fee paid by a rich child (in Rs.)
- \( y \) = fee paid by a poor child (in Rs.)

### Step 2: Set Up Equations
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