Question

A sports ticketing company offers two ticket plans. One plan cost $160 plus $20 per ticket. The other plan costs only §40 per ticket. If the total cost for the two options is the same, how many tickets did you buy, and how much did you spend? (Write a system of equations and then solve).

Answer 1

To determine the number of tickets purchased and the total amount spent, we can set up a system of equations using the given information.

Step-by-step explanation:

Let's assume you bought x tickets.

The cost of the first plan would be $160 + $20x.

The cost of the second plan would be $40x.

According to the problem, the total cost for both options is the same. Therefore, we can form the equation: $160 + $20x = $40x.

To solve this equation, we can subtract $20x from both sides to get: $160 = $20x.

Finally, divide both sides of the equation by $20 to find the value of x: x = 8.

Therefore, you bought 8 tickets and spent $160 + $20 * 8 = $160 + $160 = $320.

Learn more about Solving equations involving ticket costs