Instructions
- Read Each Scenario: Carefully read the word problems related to planning the "Global Beats Music Festival."
- Show Your Work: You must show every step of your calculation in the provided space. Use the margins or the "Working Out" boxes.
- Label Your Answers: Include the correct units (e.g., $, kg, liters, or people) in your final answer.
- Check Your Logic: Ask yourself: "Does this number make sense in a real-world context?"
- Challenge Yourself: Complete the "Pro Planner" section at the end if you finish early.
Section 1: The Snack Bar Supply
You are in charge of stocking the snack bar. Calculate the total cost for the following items. Remember to show your multiplication steps!
| Item | Quantity | Price per Unit | Total Cost |
|---|---|---|---|
| Example: Popcorn Bags | 15 | $2.50 | $37.50 ($2.50 x 10 = 25; $2.50 x 5 = 12.50; 25 + 12.50 = 37.50) |
| Bottled Water | 45 | $1.20 | |
| Fruit Cups | 32 | $3.15 | |
| Granola Bars | 120 | $0.85 | |
| Large Pizzas | 18 | $14.99 |
Working Out Space (Question 1):
Section 2: The Ticket Booth
- The festival sold 1,458 tickets over 3 days. If an equal number of tickets were sold each day, how many tickets were sold per day?
Show your long division here:
- The VIP section has 24 rows with 15 seats in each row. If 287 people have already sat down, how many empty seats are left?
Show your multi-step calculation here:
Section 3: The Juice Bar (Fractions & Decimals)
You are mixing a giant batch of "Festival Punch."
- The recipe requires 4.5 liters of orange juice.
- You also need 3/4 of a liter of lemon juice.
- You add 2.25 liters of sparkling water.
- What is the total volume of the punch in liters? (Hint: Convert the fraction to a decimal first!)
Show your working out:
- If you pour the punch into cups that hold 0.25 liters each, how many full cups can you serve?
Show your working out:
Section 4: The Stage Perimeter
- The main stage is a rectangle that is 12.5 meters long and 8.4 meters wide. Security needs to place a tape barrier exactly 2 meters away from the edge of the stage on all sides. What is the total length of the tape needed (the perimeter of the barrier)?
Draw a small diagram and show your math:
Section 5: The Pro Planner Challenge (Optional)
- The festival budget is $5,000.
- You spent $1,250 on the venue.
- You spent $840 on security.
- You spent $1,100 on performers.
- The remaining money is for the Light Show. However, the Light Show costs $2,000.
Do you have enough money? If not, how much more do you need to raise through sponsorships?
Show your budget breakdown:
Answer Key
Section 1: Snack Bar Supply
- Water: $54.00
- Fruit Cups: $100.80
- Granola Bars: $102.00
- Pizzas: $269.82
Section 2: Ticket Booth
- 486 tickets per day (1,458 ÷ 3)
- 73 empty seats (24 x 15 = 360 total seats; 360 - 287 = 73)
Section 3: Juice Bar
- 7.5 liters (4.5 + 0.75 + 2.25 = 7.5)
- 30 cups (7.5 ÷ 0.25 = 30)
Section 4: Stage Perimeter
- 57.8 meters. (New length = 12.5 + 2 + 2 = 16.5m; New width = 8.4 + 2 + 2 = 12.4m. Perimeter = 16.5 + 16.5 + 12.4 + 12.4 = 57.8m)
Section 5: Pro Planner
- No, you do not have enough. Total spent so far = $3,190. Remaining budget = $1,810 ($5,000 - $3,190). You need $190 more to reach the $2,000 needed for the Light Show.