Math Problem Statement

Use the given Chocolate Cupcake Recipe (for 24 cupcakes) to calculate how Many cupcakes can be made with 3.5 cups of water Ingredients: 3 eggs, 0.5 cups of vegetable oil, 1 Cups of water, 1 box chocolate cake mix

Solution

The Chocolate Cupcake Recipe you provided makes 24 cupcakes using the following ingredients, including 1 cup of water.

To determine how many cupcakes can be made with 3.5 cups of water, we need to find the ratio between the amount of water available and the amount of water required for 24 cupcakes.

Step-by-Step Calculation:

  1. Water required for 24 cupcakes = 1 cup
  2. Water available = 3.5 cups

The number of cupcakes you can make is proportional to the water available:

Number of cupcakes=Available waterWater for 24 cupcakes×24\text{Number of cupcakes} = \frac{\text{Available water}}{\text{Water for 24 cupcakes}} \times 24

Number of cupcakes=3.51×24=3.5×24=84\text{Number of cupcakes} = \frac{3.5}{1} \times 24 = 3.5 \times 24 = 84

Final Answer:

With 3.5 cups of water, you can make 84 cupcakes.

Would you like further clarification or details on this?

Here are 5 related questions to think about:

  1. How would the number of cupcakes change if you had 2 cups of water?
  2. If the recipe requires 3 eggs for 24 cupcakes, how many eggs would you need for 84 cupcakes?
  3. Can you scale down the recipe if you only want to make 12 cupcakes?
  4. How much oil would be needed to make 36 cupcakes?
  5. What would happen if you accidentally used too much water in the recipe?

Tip: When scaling recipes, make sure all ingredients are scaled equally to maintain the correct proportions for flavor and texture.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Scaling

Formulas

Number of cupcakes = (Available water / Water for 24 cupcakes) × 24

Theorems

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Suitable Grade Level

Grades 5-7