Question

name: ____________ mark: ________
you may use your notes to help you.

1. you want to start your summer vacation by earning some extra money. you decide to have a lemonade stand outside your house for 1 day. your recipe calls for concentrated lemon juice, sugar, and water. your goal is to make 40 l of lemonade. complete the chart to calculate what you need to buy and how much it will cost. remember that 1000 ml = 1l and 1000 g = 1 kg.

ingredient	lemon juice (945 ml bottle)	sugar (2 kg bag)	water	paper cups (bag of 50)
you need to make:			40 l
you need to buy:	bottles	bags	water is free	bags
cost per item:	$2.50 per bottle	$3.00 per bag	$0	$2.00 per bag
total cost for each item:

therefore the total cost of making 40 l of lemonade is: __________.

1. you need to determine the selling price of one cup of lemonade. you need to make a profit but if it’s too expensive you won’t get as many customers.

what is the unit cost (cost to make 1 cup) of lemonade?
= total cost ÷ total number of cups made

now determine your selling price for 1 cup:

Explanation:

Step1: Calculate total lemon juice needed

First, find total lemon juice required for 40 L. Since 1 L needs 125 ml, total is $40 \times 125 = 5000$ ml.

Step2: Find number of lemon juice bottles

Each bottle is 945 ml. Calculate $\frac{5000}{945} \approx 5.29$, so we need 6 full bottles.

Step3: Calculate cost for lemon juice

Cost per bottle is $2.50. Total cost: $6 \times 2.50 = 15.00$

Step4: Calculate total sugar needed

1 L needs 100 g, so 40 L needs $40 \times 100 = 4000$ g = 4 kg.

Step5: Find number of sugar bags

Each bag is 2 kg. Number of bags: $\frac{4}{2} = 2$ bags.

Step6: Calculate cost for sugar

Cost per bag is $3.00. Total cost: $2 \times 3.00 = 6.00$

Step7: Calculate total number of cups

1 L makes 4 cups, so 40 L makes $40 \times 4 = 160$ cups.

Step8: Find number of cup bags

Each bag has 50 cups. $\frac{160}{50} = 3.2$, so we need 4 full bags.

Step9: Calculate cost for cups

Cost per bag is $2.00. Total cost: $4 \times 2.00 = 8.00$

Step10: Calculate total production cost

Sum all ingredient costs: $15.00 + 6.00 + 8.00 = 29.00$

Step11: Calculate unit cost per cup

Unit cost = $\frac{\text{Total Cost}}{\text{Total Cups}} = \frac{29.00}{160} = 0.18125$

Step12: Set a profitable selling price

Choose a price higher than unit cost, e.g., $0.50 (balances profit and affordability).

Answer:

Completed Chart Values:

Ingredient	Lemon Juice (945 ml bottle)	Sugar (2 kg bag)	Water	Paper Cups (bag of 50)
You need to buy:	6 bottles	2 bags	free	4 bags
Total Cost for each item:	$15.00	$6.00	$0	$8.00

Total cost of making 40 L of lemonade: $\$29.00$
Unit cost per cup: $\$0.18$ (rounded to nearest cent)
Suggested selling price per cup: $\$0.50$ (or any price above $\$0.18$ to make a profit)