Question

The student council at Lincoln Middle School is hosting a school dance. The student council paid $560 for all of the supplies needed for the dance and plans to sell tickets for $7. The student council's goal is to earn a profit of more than $140. Jeremy said the student council can reach the goal if 100 tickets are sold. a. Write an equation or inequality to represent the situation. Let t represent the number of tickets sold. ​

Answer 1

a) 7t - 560 ≤ 140 is the required inequality to represent the situation.

Explanation:

Let t represent the number of tickets sold.

The amount allocated by school council for all supplies = $560

The selling price of each ticket = $7

The aim to earn profit = more than $140

Goal reached if Number of tickets sold = 100

Now, SP of each ticket is $7

⇒Selling price of t tickets = t x ($7) = 7t

PROFIT = TOTAL SELLING Price - TOTAL COST

or, $140 = 7t - $560

According to the question:

7t - 560 ≤ 140

if t = 100, then the profit earned = 7(100) - 560 = 140

Hence, t = 100 is the possible solution of the given expression.