A karate club is having a pancake breakfast to raise money for new gym
equipment. The graph shows the amount of money that will be raised for
different numbers of tickets sold. The club spent 175 on supplies for the
breakfast. If 20 tickets have been sold so far, how many more tickets must be
sold to cover the cost of supplies?
The Correct Answer and Explanation is :
To determine how many more tickets need to be sold to cover the cost of supplies, we can follow these steps:
- Identify the revenue per ticket:
The graph shows the amount of money raised for different numbers of tickets sold. To answer the question, we first need to identify how much money is raised per ticket. If 20 tickets have been sold so far, you can find out how much money has been raised by looking at the graph at the point where 20 tickets are sold. - Calculate the amount raised by 20 tickets:
From the graph, find the revenue corresponding to 20 tickets sold. For example, let’s assume the graph indicates that 20 tickets raise $100. This is just an assumption—if you can provide the exact value from the graph, use that value. - Determine the amount still needed:
The club spent $175 on supplies, so we need to calculate how much more money needs to be raised. Subtract the amount raised so far from the total cost of supplies:
[
\text{Remaining amount} = 175 – 100 = 75
]
So, $75 is still needed to cover the cost of supplies. - Find the number of additional tickets to sell:
Now that we know how much money is still needed, we can find out how many more tickets need to be sold. Suppose the price per ticket is $5. To find out how many more tickets need to be sold, divide the remaining amount by the price of each ticket:
[
\text{Number of tickets} = \frac{75}{5} = 15
]
Thus, 15 more tickets need to be sold to cover the cost of supplies.
Explanation:
The problem involves using a graph to find the revenue raised from selling tickets and then determining how many more tickets must be sold to meet the supply cost. By identifying the total revenue from the first 20 tickets, calculating the shortfall, and then dividing that shortfall by the ticket price, we determine how many additional tickets are needed. This process requires interpreting data from the graph and applying basic subtraction and division.