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 $=300$ and children $=450$
• C. Adults $=800$ and children $=700$
• D. Adults $=640$ and children $=800$

Answer 1

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

Let $x$ be the number of adults and $y$ children.
Given, $x+y=1250$ --- $\left(1\right)$
And $75x+25y=61250$
$\Rightarrow 3x+y=2450$ --- $\left(2\right)$
Subtracting equation $\left(1\right)$from $\left(2\right)$, we get $2x=1200\Rightarrow x=600$

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

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