Subjects algebra

Ingredient Ratios

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. Stating the problem: We need to find the ratios of different ingredients Sara has for baking a cake. 2. Count the ingredients: - Eggs: 3 rows × 2 columns = 6 eggs - Sugar: 2 rows × 5 columns = 10 sugar containers - Butter: 3 rows × 4 columns = 12 butter sticks - Flour: 3 rows × 4 columns = 12 flour bags 3. Find the ratios: - Butter to eggs ratio: $$\frac{12}{6} = 2:1$$ - Butter to flour ratio: $$\frac{12}{12} = 1:1$$ - Flour to butter to eggs ratio: $$12:12:6$$ which simplifies to $$2:2:1$$ by dividing all by 6 - Sugar to flour ratio: $$\frac{10}{12} = \frac{5}{6}$$ or approximately 5:6 - Sugar to total ingredients ratio: Total ingredients = 6 + 10 + 12 + 12 = 40 Sugar to total = $$\frac{10}{40} = \frac{1}{4}$$ or 1:4 Final answers: - Butter : Eggs = 2 : 1 - Butter : Flour = 1 : 1 - Flour : Butter : Eggs = 2 : 2 : 1 - Sugar : Flour = 5 : 6 - Sugar : Total ingredients = 1 : 4 These ratios help Sara understand the proportion of each ingredient in her cake recipe.