Answer:
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
