Fundraising Activities and Total Sales

1. The school club is selling two types of tickets for an upcoming fundraiser. They sell adult tickets for $15 and student tickets for $10. The club needs to raise at least $500. If they sell 10 adult tickets, what is the minimum number of student tickets they need to sell? Answer: 25

2. For another fundraiser, the band is selling cookies and brownies. Each cookie costs $2 and each brownie costs $3. They need to raise at least $150. If they want to sell no more than 40 treats total, what are the maximum number of cookies they can sell if they sell 20 brownies? Answer: 50

3. The drama club is producing a play and has a budget for costumes. The cost for each costume is $25 for adults and $15 for students. They can spend at most $600. If they decide to buy costumes for 5 adults, how many student costumes can they afford? Answer: 3

4. In a profit-maximizing scenario, the school's soccer team needs to earn at least $200. If they determine that they can sell x number of soccer balls at $20 each and y number of jerseys at $15 each, express the conditions in terms of systems of inequalities where x represents soccer balls sold, with additional constraints on sales. Answer: x < 10, y > -2; y = 0

5. A charity event has a goal of raising at least $400. They’ll serve pizza slices for $4 each and drinks for $2 each. If they already have an order of 40 drinks, how many pizza slices do they need to sell to meet their fundraising goal? Answer: 7

6. The science club is hosting a carwash and is charging $6 for each car. They estimated needing at least $120 to cover their expenses. If their goal is not just to cover expenses but also to save for a field trip, how many cars do they need to wash if they want to save at least $30? Answer: 15

7. The art club is selling paintings and prints to raise funds. They sell paintings for $25 each and prints for $10 each. If they plan to earn at least $300 and they want to sell no more than 25 items combined, how many paintings can they sell if they sell 10 prints? Answer: 12

8. For a bake sale, students are selling muffins for $2 each and cookies for $1. They want to ensure they earn at least $100. If they choose to sell 20 cookies, how many muffins do they need to sell to reach their goal? Answer: 40

9. During a fundraiser, the school is selling raffle tickets. The tickets are $5 each, and to reach their goal of $250, they need to ensure they sell enough tickets. If they already sold 20 tickets, how many more tickets do they need to sell? Answer: 5

10. The student council wants to organize a dance. They have a $500 budget, but they need at least $240 to cover the venue rental. If the student ticket price is $8 each, how many tickets must they sell to cover the total cost? Answer: Total cost is $240, sell max 20 student tickets