<PRE><B>Question 1202593</B>
&lt;br&gt;
Formally....&lt;br&gt;
x = adults
125-x = children&lt;br&gt;
The total cost of the tickets, at $4 per adult and $1.75 per child, was $324.50:&lt;br&gt;
4(x)+1.75(125-x) = 324.50&lt;br&gt;
You can do the work to find the answer.  (The algebra is basic, but the numbers are a bit ugly....)&lt;br&gt;
Informally, using logical reasoning and simple arithmetic....&lt;br&gt;
If all 125 tickets were adult tickets, the total cost would have been 125($4) = $500.
The actual total was $324.50, which is $175.50 less than $500.
The difference in the cost of an adult ticket and a child ticket is $4-$1.75 = $2.25.
The number of child tickets, to make the difference of $175.50, was 175.50/2.25 = 702/9 = 78.&lt;br&gt;
ANSWER: 78 children&#39;s tickets and 125-78 = 47 adult tickets&lt;br&gt;
CHECK: 78($1.75)+47($4) = 136.50+188 = 324.50&lt;br&gt;
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