Math Problem Statement

Molly is making peanut butter cookies. To make a batch of cookies she needs 3434 cups of peanut butter, 1.5 cups of sugar, and 1 egg. If Molly has 3 cups of peanut butter, 9 cups of sugar, and 5 eggs, how many batches of cookies can she make?

Solution

To determine how many batches of cookies Molly can make, we need to check which ingredient limits her the most by dividing the amount she has by the amount required for one batch.

Given:

  • Peanut butter needed: 3434 cups (this number seems incorrect; assuming it’s 3.434 cups)
  • Sugar needed: 1.5 cups
  • Eggs needed: 1 egg

Amounts Molly has:

  • Peanut butter: 3 cups
  • Sugar: 9 cups
  • Eggs: 5 eggs

Calculations:

  1. Peanut Butter:
    33.4340.874\frac{3}{3.434} \approx 0.874

  2. Sugar:
    91.5=6\frac{9}{1.5} = 6

  3. Eggs:
    51=5\frac{5}{1} = 5

Conclusion:

The limiting factor is peanut butter, allowing approximately 0.874 batches. Since Molly can't make a fraction of a batch, she can only make 0 full batches unless 3.434 cups of peanut butter is a typo. If corrected, the answer could change.

Would you like further clarification or details?


Related Questions:

  1. How do you calculate the limiting ingredient in a recipe?
  2. What happens if the limiting ingredient is corrected to a smaller amount?
  3. How can scaling recipes help in baking?
  4. What is the role of each ingredient in peanut butter cookies?
  5. How would using half the sugar affect the cookies?

Tip:
Always check for typos or unusual measurements in recipe problems!

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Math Problem Analysis

Mathematical Concepts

Proportions
Division
Limiting Factor Analysis

Formulas

Number of batches = Available amount of ingredient / Required amount per batch

Theorems

None (basic arithmetic principles are sufficient)

Suitable Grade Level

Grades 5-7