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

Answer:

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

Step-by-step 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.