Question

The number of concert tickets sold at regular price was 247 more than two times the number of discounted tickets sold. If 1,180 tickets were sold, how many were purchased at the discounted price?

Answer 1

To find the number of tickets purchased at the discounted price, we can set up an equation and solve for the unknown variable. In this case, 311 tickets were purchased at a discounted price.

Step-by-step explanation:

To solve this problem, we can set up the equation: let x be the number of discounted tickets sold. Then, the number of tickets sold at regular price would be 2x + 247. According to the problem, the total number of tickets sold is 1,180, so we can write the equation as:

x + (2x + 247) = 1180

Now, we can solve for x:

1. Combine like terms: 3x + 247 = 1180
2. Subtract 247 from both sides: 3x = 933
3. Divide both sides by 3: x = 311

Therefore, 311 tickets were purchased at a discounted price.