Middle School

This recipe makes 12 cinnamon rolls, but you need to make 30 rolls.

### Ingredients:
- 1/4 ounce package active dry yeast
- 1 cup warm water
- 3 tablespoons molasses
- 1/3 cup powdered milk
- 1 egg yolk, beaten
- 1 egg white, beaten
- 3 1/2 cups bread flour, divided
- 6 tablespoons butter, melted and divided
- 1 teaspoon salt
- 1/2 cup whole wheat flour
- 1/3 cup granulated sugar
- 1 tablespoon ground cinnamon
- 1/3 cup raisins
- 1 large egg, beaten
- 1/4 cup water

### Questions:
1. This recipe makes 12 rolls, but you need to make 30 rolls. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?

2. How many ounces of yeast will you need to make 30 rolls?

3. How many cups of powdered milk will you need to make 30 rolls?

4. How many tablespoons of butter will you need to make 30 rolls?

5. How many more cups of bread flour than whole wheat flour will you need to make 30 rolls?

Answer :

- you need to multiply the recipe by 2.5. you determine it by dividing 30 by 12.

- yeast: 1/4 x 2.5 = 5/8
you need 5/8 ounces of yeast

- milk: 1/3 x 2.5 = 5/6
you need 5/6 cups of powdered yeast

- butter: 6 x 2.5 = 15
you need 15 tablespoons of butter

- flour: 3 1/2 x 2.5 = 8.75
you need 8.75 cups of bread flour

Final answer:

To make 30 rolls from a recipe that creates 12, you need to multiply each ingredient by 2.5 (30 ÷ 12). This gives you 5/8 oz of yeast, 5/6 cups of powdered milk, 15 tablespoons of butter, and 7.5 cups more bread flour than whole wheat flour.

Explanation:

To adjust the recipe to create 30 instead of 12 cinnamon rolls, you need to multiply the amount of each ingredient by 2.5. This multiplier is determined by dividing the final number of rolls needed (30) by the initial number made by the recipe (12).

To calculate the new quantities for each ingredient:

  • Yeast: Multiply 1/4 oz by 2.5 to get 5/8 oz.
  • Powdered milk: Multiply 1/3 cup by 2.5 to get 5/6 cup.
  • Butter: Multiply 6 tablespoons by 2.5 to get 15 tablespoons.
  • Bread flour: Multiply 3 1/2 cups by 2.5 to get 8.75 cups. Whole wheat flour remains 1/2 cup when multiplied by 2.5, which equals to 1.25 cups. Therefore you will need 7.5 cups more of bread flour than whole wheat flour.

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