How can 7th Grade RMS Football Team Reach Their Fundraising Goal?
How much profit does the 7th Grade RMS football team want to make for their fundraiser?
The football team wants to make at least a $200 profit for the fundraiser.
How much did the football team spend on ingredients and cups for the lemonade?
The football team had to spend $30 on the ingredients and cups for the lemonade.
How much are they going to sell the lemonade for?
They are going to sell the lemonade for $2 per cup.
What is the required number of cups of lemonade the team must sell to achieve their fundraising goal?
Write and solve an inequality for this situation. Graph the solution below. How many cups of lemonade must the team sell?
Final answer:
To make at least a $200 profit for their fundraiser, the 7th Grade RMS football team must sell at least 115 cups of lemonade.
Explanation:
To achieve their fundraising goal, the 7th Grade RMS football team needs to calculate the number of cups of lemonade they must sell. They spent $30 on ingredients and cups and aim to make at least a $200 profit. This means their revenue should exceed their total cost by $200.
Let's denote the number of cups as 'x.' The total cost is $30. They will sell the lemonade for $2 per cup, so their revenue from selling 'x' cups will be 2x. The total revenue needs to be greater than $230 ($200 profit + $30 cost).
Therefore, the inequality to represent this situation is 2x ≥ $230. By solving this inequality, we find that x ≥ 115, meaning the team must sell at least 115 cups of lemonade to reach their fundraising goal.