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Solution


Q.

A coaching institute of Mathematics conducts classes in two batches I and II and fees for rich and poor children are different. In batch I, there are 20 poor and 5 rich children, whereas in batch II, there are 5 poor and 25 rich children. The total monthly collection of fees from batch I is Rs9000 and from batch II is Rs26,000. Assume that each poor child pays Rs x per month and each rich child pays Rs y per month.

Based on the above information, answer the following questions:
 


 

(i) Represent the information given above in terms of x and y.
1 x = 9000, y = 26000  
2 x = -9000, y = -26000  
3 y = 9000, x = 26000  
4 x = 8000, y = 25000  

Ans.

(1) 

20x + 5y = 9000 ...........(i)
 5x + 25y = 26000 ...........(ii)