Question 66570

Let x=number of adult tickets
Then 1500-x=number of student tickets

Now we are told that the receipts taken in from selling adult tickets ($3.50x)
plus the receipts taken in from selling student tickets [$2.00(1500-x)] equals $3825.  So our equation to solve is:

$3.50x+$2.00(1500-x)=$3825

$3.50x+$3000-$2.00x=$3825  subtract $3000 from both sides:

$1.50x=$3825-$3000
$1.50x=$825
x=550 adult tickets sold

1500-x=1500-550=950 student tickets sold

Ck

550($3.50)+950($2.00)=$3825

$1925+$1900=$3825
$3825=$3825




Hope this helps-----ptaylor