Question

1250 persons went to see 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.

• A. Adults= $600$ and children= $650$
• B. Adults= $200$ and children= $800$
• C. Adults=$400$ and children= $350$
• D. Adults= $650$ and children= $550$

Answer 1

The correct option is A Adults= $600$ and children= $650$

Let $x$be the number of adults and $y$ children.
Given, $x+y=1250$ --- (1)
And $75x+25y=61250$
=> $3x+y=2450$ --- (2)

Subtracting equation $\left(1\right)$
from $\left(2\right)$, we get $2x=1200=>x=600$

Substituting
$x=600$ in the equation $\left(1\right)$, we get $600+y=1250=>y=650$

Hence, $600$ adults and $650$ children visited.