Question 1105989
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The average cost per ticket is $1350/180 = $7.50.<br>
Since the average is halfway between the two prices, there must be equal numbers of students and guests, so the number of students was 180/2 = 90.<br>
If you need an algebraic solution for finding the number of students....<br>
let x = number of students
then 180-x = number of guests<br>
The total cost of the tickets, at $7 per student and $8 per guest, was $1350:<br>
{{{7(x)+8(180-x) = 1350}}}
{{{7x+1440-8x = 1350}}}
{{{-x = -90}}}
{{{x = 90}}}