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