Question

1250 persons went to sea a circus-show. Each adult paid Rs. 75 and each child paid Rs. 25 for the admission ticket. Find the number of adults and number of children, if the total collection from them amounts to Rs. 61,250.

Answer 1

Let the number of adults = x
and the number of children = y

According to the question,
x + y = 1250                                ...(1)
75x + 25y = 61250                      ...(2)

Subtracting equation (2) from (1)
       3x + y = 2450
-       x + y = 1250  
     -     -        -        
       2x = 1200
         x = 600

From (1)
600 + y = 1250
y = 650
Thus, number of adults = 600 and the number of children = 650.