Question

Cambrian College's School of Business hosts an annual pasta dinner to collect money for scholarship funds. Students can purchase tickets for $ 12.35 which is 16% off the regular ticket price that non-Cambrian students must pay to attend the dinner. What is the regular price that non-Cambrian students must pay for tickets to the dinner? Cambrian College's School of Business hosts an annual pasta dinner to collect money for scholarship funds. They have 260 tickets available to sell and at the end of the dinner $ 3537.980952381 is earned in ticket sales. How many tickets were sold at the student price ?

Answer 1

To find the regular price that non-Cambrian students must pay for tickets to the dinner, we can set up an equation using the given information about the student price discount. Solving the equation, we find that the regular price is approximately $14.70.

Step-by-step explanation:

To find the regular price that non-Cambrian students must pay for tickets to the dinner, we need to use the given information about the student price discount. Let's start by setting up an equation.

Let x be the regular ticket price. The student price is 16% off that price, so the student price is (100% - 16%) of x, which is 84% of x.

Since students can purchase tickets for $12.35, we can set up the equation:

0.84x = $12.35

Divide both sides of the equation by 0.84 to solve for x:

x = $12.35 / 0.84

x ≈ $14.70

Therefore, the regular price that non-Cambrian students must pay for tickets to the dinner is approximately $14.70.