Question

Please do it with step by step explanation it will help me so much thanks!

Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $30. Now the cost is $39.
a. What is the percent increase?
b. What would be the percent increase if the ticket agent charges an additional $4.50 fee with the new ticket price?

Answer 1

The percent increase in ticket price from $30 to $39 is 30%. With an additional $4.50 fee, the percent increase is 45%.

Step-by-step explanation:

Calculating Percent Increase in Ticket Price

Carolyn noticed that the concert ticket price has increased from $30 to $39. To calculate the percent increase, follow these steps:

Determine the amount of increase by subtracting the original price from the new price: $39 - $30 = $9.

To find the percent increase, divide the increase by the original price: $9 ÷ $30.

Then, multiply the result by 100 to convert it to a percentage: ($9 ÷ $30) × 100 = 30%.

The percent increase in the ticket price is 30%.

Percent Increase with Additional Fee

If an additional $4.50 fee is applied to the new ticket price, the total cost becomes $39 + $4.50 = $43.50. To find the new percent increase:

Add the fee to the new price to get the total cost: $39 + $4.50 = $43.50.

Subtract the original price from the total cost: $43.50 - $30 = $13.50.

Divide this increase by the original price: $13.50 ÷ $30.

Multiply by 100 to convert to a percentage: ($13.50 ÷ $30) × 100 = 45%.

With the additional fee, the percent increase is 45%.