Scenario: Baking Recipe Scaling - Scale recipes and calculate costs!
A cookie recipe makes 12 cookies and requires 2 cups of flour. You want to make 30 cookies. If flour costs $1.20 per cup, how much will the flour cost for the larger batch?
Problem Breakdown:
Step 1: Set up the proportion
Original: 12 cookies need 2 cups flour
New: 30 cookies need x cups flour
Proportion: 12/2 = 30/x
Step 2: Solve for x
12/2 = 30/x
6 = 30/x
x = 30/6 = 5 cups
Step 3: Calculate cost
Cost = 5 cups × $1.20/cup = $6.00
Answer: You need 5 cups of flour, which will cost $6.00.
Step 1: Find flour per cookie
2 cups ÷ 12 cookies = 1/6 cup per cookie
Step 2: Calculate flour for 30 cookies
30 cookies × (1/6 cup per cookie) = 5 cups
Step 3: Calculate cost
5 cups × $1.20/cup = $6.00
If you only have 3 cups of flour available, what's the maximum number of cookies you can make?
Method 1: Using unit rate
3 cups ÷ (1/6 cup per cookie) = 3 × 6 = 18 cookies
Method 2: Using proportion
12/2 = x/3
6 = x/3
x = 18 cookies
Answer: With 3 cups of flour, you can make a maximum of 18 cookies.
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