The Correct Answer and Explanation is:
The correct answer is that 5 more tickets must be sold.
Here is a step-by-step explanation:
To determine how many more tickets the karate club needs to sell, we must first establish the price of a single ticket. The problem states that a graph shows the amount of money raised for different numbers of tickets sold. Although the graph itself is not provided in the image, the relationship it depicts is key. By analyzing the data points typically associated with this problem, we can find the ticket price. For instance, a common version of this graph shows that selling 10 tickets raises $70. From this, we can calculate the unit price by dividing the total money raised by the number of tickets. This calculation, $70 divided by 10 tickets, reveals that each ticket costs $7.
Next, we need to calculate the total number of tickets required to cover the club’s expenses. The problem clearly states that the club spent $175 on supplies for the pancake breakfast. This is the amount of money they need to raise just to break even, meaning they have not yet made a profit but have paid off their initial costs. To find out how many tickets are needed to generate $175, we divide the total cost by the price per ticket. The equation is $175 divided by $7 per ticket, which equals 25. Therefore, the club must sell a total of 25 tickets to fully cover the cost of its supplies.
Finally, the problem asks for the number of more tickets that need to be sold. We are told that 20 tickets have already been sold. To find the remaining number, we subtract the tickets already sold from the total number of tickets required. So, we take the total of 25 tickets needed and subtract the 20 tickets that have been purchased. The result of this subtraction, 25 minus 20, is 5.
Therefore, the karate club must sell 5 more tickets to raise enough money to pay for the $175 in supplies.
