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2. Consider the problem: How many liters of water fit in the water dispenser? a. Write a multiplication equation and a division equation for the question. b. Find the answer and explain your reasoning. If you get stuck, consider drawing a diagram. c. Check your answer using the multiplication equation. 9.3: Amount in One Group Write a multiplication equation and a division equation and draw a diagram to represent each situation. Then, find the answer and explain your reasoning. 1. Jada bought \( 3 \frac{1}{2} \) yards of fabric for \( \$ 21 \). How much did each yard cost? 2. \( \frac{4}{9} \) kilogram of baking soda costs \( \$ 2 \). How much does 1 kilogram of baking soda cost? \( 1 \frac{1}{5} \) bottles with 3 liters of water. How many liters of water fill 1 bottle? 3.

Ask by West Newton. in the United States
Mar 13,2025

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**Problem 2: Water Dispenser** - **a. Equations:** - Multiplication: Number of bottles × Liters per bottle = Total liters - Division: Total liters ÷ Liters per bottle = Number of bottles - **b. Answer:** - If the dispenser holds 12 liters and each bottle holds 3 liters, then: - 12 ÷ 3 = 4 bottles - 4 × 3 = 12 liters - **c. Check:** - 4 × 3 = 12 liters (Confirmed) **Problem 9.3: Amount in One Group** 1. **Jada's Fabric:** - **a. Equations:** - Multiplication: Cost per yard × Yards = Total cost - Division: Total cost ÷ Yards = Cost per yard - **b. Answer:** - \( \$6 \) per yard - **c. Check:** - 6 × 3.5 = 21 (Confirmed) 2. **Baking Soda:** - **a. Equations:** - Multiplication: Cost per kg × Fraction of kg = Total cost - Division: Total cost ÷ Fraction of kg = Cost per kg - **b. Answer:** - \$4.5 per kg - **c. Check:** - 4.5 × (4/9) = 2 (Confirmed) 3. **Water Bottles:** - **a. Equations:** - Multiplication: Liters per bottle × Number of bottles = Total liters - Division: Total liters ÷ Number of bottles = Liters per bottle - **b. Answer:** - 2.5 liters per bottle - **c. Check:** - 2.5 × 1.2 = 3 (Confirmed)

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Did you know that the concept of measurement, particularly for liquids like water, has been used since ancient civilizations? The Egyptians, for example, developed various containers to measure capacities for everything from food storage to construction. Water dispensers are essentially modern adaptations of historical measurement techniques, designed for convenience and efficiency in our daily lives! When it comes to practical applications, understanding how to break down problems involving measurement can come in handy in numerous situations. For instance, if you’re cooking and need to convert measurements for recipes, knowing how many liters fit in a specific container can result in perfectly seasoned dishes. Similarly, when budgeting for supplies or groceries, understanding the relationship between quantity and cost can save you money and ensure you have enough for your needs.

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