Edan buys 3 tickets to a concert. When the delivery charge of $7.75 per order is added to the cost of the tickets, the total cost is $70.75. A) Create an algebraic equation for this problem. Use the equation to determine the cost of each ticket. Verify your solution. B) Olivia is Edan's cousin. Olivia has asked Edan to purchase tickets for her friends as well. Edan has now purchased 6 tickets in total. Use an algebraic equation to determine the total cost to Edan? C) Olivia has come down with the flu, and her friends no longer want to attend the concert. Edan is thinking of selling the 6 tickets she bought. Her goal is to earn $100 after selling the tickets. Using the equations from part a) and b), how much should Edan sell each ticket for, if she wants to make a profit of at least $100?

a) $21

b) $133.75

c) $233.75

Step-by-step explanation:

Edan buys 3 tickets to a concert. When the delivery charge of $7.75 per order is added to the cost of the tickets, the total cost is $70.75.

A) Create an algebraic equation for this problem. Use the equation to determine the cost of each ticket. Verify your solution.

Let the number of tickets be represented by x

The equation is:

3x + 7.75 = 70.75

3x = 70.75 - 7.75

3x = 63

x = 63/3

x = $21

Each ticket cost $21

B) Olivia is Edan's cousin. Olivia has asked Edan to purchase tickets for her friends as well. Edan has now purchased 6 tickets in total. Use an algebraic equation to determine the total cost to Edan?

1 ticket cost = $21

Let the number of tickets be represented by x

Hence, the equation is

21x + $7.75

21 × 6 + $7.75

= 126 + $7.75

= $133.75

C) Olivia has come down with the flu, and her friends no longer want to attend the concert. Edan is thinking of selling the 6 tickets she bought. Her goal is to earn $100 after selling the tickets. Using the equations from part a) and b), how much should Edan sell each ticket for, if she

Profit = Selling price - Cost Price

Cost price = $133.75

Profit = $100

Selling price = Cost price + Profit

Selling price = $133.75 + $100

= $233.75

stops on an even number.