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Calculate Initial Flour Quantity for Maria's Bread and Muffins
Mathematics
Grade 6
Question Content
Analyze and Persevere: Maria used one bag of flour. She baked two loaves of bread. Then she used the remaining flour to make 48 muffins. How much flour was in the bag when Maria began? Recipe Data: Bread: 2 1/4 cups per loaf; Muffins: 3 1/4 cups per 24 muffins; Pizza: 1 1/2 cups per pie.
Correct Answer
11 cups of flour
Detailed Solution Steps
1
Step 1: Calculate flour used for bread: 2 loaves × 2 1/4 cups/loaf. Convert 2 1/4 to 9/4, so 2 × 9/4 = 18/4 = 4 1/2 cups.
2
Step 2: Calculate flour used for muffins: First find flour per muffin: 3 1/4 cups ÷ 24. Convert 3 1/4 to 13/4, so (13/4) ÷ 24 = 13/96 cups per muffin. Then multiply by 48 muffins: 48 × 13/96 = 13/2 = 6 1/2 cups.
3
Step 3: Find total flour in the bag: Add flour for bread and muffins: 4 1/2 + 6 1/2 = 11 cups.
Knowledge Points Involved
1
Scaling Recipe Quantities
Calculating ingredient amounts for a different number of servings than the recipe lists, by first finding the amount per single serving, then multiplying by the desired number of servings.
2
Adding Mixed Numbers
Combining mixed numbers (or converting them to improper fractions first) to find a total sum, used here to add the flour for bread and muffins to get the initial total flour.
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