Add 75 kg to 2500 g, then convert the answer to pounds. Use 1 kg = 2.2 lbs. Be sure to convert all measurements to kilograms before adding. Round the answer to the nearest tenth of a pound. The weight in pounds is __
The Correct Answer and Explanation is:
To solve this problem, we need to first convert all the weights into the same unit (kilograms), then perform the addition, and finally convert the result to pounds.
Step 1: Convert grams to kilograms
Since there are 1000 grams in a kilogram, we need to convert 2500 grams to kilograms:2500 g×1 kg1000 g=2.5 kg2500 \, \text{g} \times \frac{1 \, \text{kg}}{1000 \, \text{g}} = 2.5 \, \text{kg}2500g×1000g1kg=2.5kg
Step 2: Add the two weights in kilograms
Now that both weights are in kilograms, we can add them:75 kg+2.5 kg=77.5 kg75 \, \text{kg} + 2.5 \, \text{kg} = 77.5 \, \text{kg}75kg+2.5kg=77.5kg
Step 3: Convert the total weight to pounds
To convert kilograms to pounds, we use the conversion factor 1 kg=2.2 lbs1 \, \text{kg} = 2.2 \, \text{lbs}1kg=2.2lbs. So, we multiply the total weight in kilograms by 2.2:77.5 kg×2.2 lbskg=170.5 lbs77.5 \, \text{kg} \times 2.2 \, \frac{\text{lbs}}{\text{kg}} = 170.5 \, \text{lbs}77.5kg×2.2kglbs=170.5lbs
Final Answer:
The total weight in pounds is 170.5 lbs.
Explanation:
- First, we converted 2500 grams to kilograms by dividing by 1000.
- Then, we added the 75 kg to 2.5 kg, resulting in 77.5 kg.
- Finally, we converted 77.5 kg to pounds by multiplying by 2.2, yielding 170.5 pounds. This was rounded to the nearest tenth as required.
