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Math  /  Numbers & Operations

QuestionMeasurement Word problem involving a conversion between U.S. Customary units of ...
Rachel is ordering 3 bags of cat food from Canada. Each bag has a mass of 5 kg . To determine the shipping costs, Rachel needs to know the total weight in pounds. What is the weight of the cat food in pounds?
Use 1 kg=2.2lb1 \mathrm{~kg}=2.2 \mathrm{lb} and do not round any computations. □\square 16

Studdy Solution

STEP 1

1. Each bag of cat food has a mass of 5 5 kg.
2. Rachel is ordering 3 3 bags of cat food.
3. The conversion factor from kilograms to pounds is 1 kg=2.2 lb 1 \text{ kg} = 2.2 \text{ lb} .
4. We need to find the total weight of the cat food in pounds.

STEP 2

1. Calculate the total mass in kilograms.
2. Convert the total mass from kilograms to pounds.

STEP 3

Calculate the total mass of the cat food in kilograms.
Total mass in kg=3 bags×5 kg/bag=15 kg\text{Total mass in kg} = 3 \text{ bags} \times 5 \text{ kg/bag} = 15 \text{ kg}

STEP 4

Use the conversion factor to convert the total mass from kilograms to pounds.
Total weight in pounds=15 kg×2.2 lb/kg\text{Total weight in pounds} = 15 \text{ kg} \times 2.2 \text{ lb/kg}

STEP 5

Perform the multiplication to find the total weight in pounds.
Total weight in pounds=15×2.2=33 lb\text{Total weight in pounds} = 15 \times 2.2 = 33 \text{ lb}
The total weight of the cat food in pounds is:
33 lb\boxed{33 \text{ lb}}

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