The dance committee of Pine bluff middle school earned $72 from a bake sale and will earn $4 for each ticket they sell to the spring fling dance. The dance will cost $400. Write an inequality to determine the number, T, of tickets the committee could sell to have money left over after they pay for this year‘s dance.
Let T be the number of tickets sold.
Total money earned = $72 (from bake sale) + $4T (from ticket sales)
Total cost of dance = $400
To have money left over after paying for the dance, the total money earned must be greater than the total cost of the dance:
$72 + $4T > $400
Therefore, the inequality is:
$4T > $400 - $72
$4T > $328
Simplify:
T > 82
So, the dance committee must sell more than 82 tickets to have money left over after paying for this year's dance.