Your school sold 456 tickets for a high school play. An adult ticket cost $3.50 and a student ticket cost $1. Total tickets sales equaled $1131. How do you write an equation for the ticket sales?

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Answer 1 · 2016-12-31T11:22:22

Let's call the number of adult tickets $A$

Then the number of student tickets will be $456-A$ , as they must add up to $456.$

Now total sales are $$1131$ . The equation will be:
$Axx$3.50+(456-A)xx$1.00=$1131$ , or:

$Axx$3.50+$456-Axx$1.00=$1131$

Re-arrange and subtract $$456$ on both sides:

$A($3.50-$1.00)+cancel($456)-cancel($456)=$1131-$456$ , or:

$Axx$2.50=$675->A=($675)/($2.50)=270$

Conclusion :
$270$ adult tickets were sold, and $456-270=186$ student tickets.

Check!
$270xx$3.50+186xx$1.00=$1131$