High School

Using the formula \(1 \text{ kg} = 2.205 \text{ pounds}\), 165 pounds converts to a weight of _____.

a) 74.84 kg
b) 74.76 kg
c) 74.98 kg
d) 75.02 kg

Answer :

The the formula 1 kg = 2.205 pounds and set up a proportion to solve for x. The weight in kilograms is approximately A. 74.84.

To convert pounds to kilograms, we can use the conversion factor 1 kg = 2.205 pounds. Given that 165 pounds is the weight we want to convert, we can set up a proportion:

165 lb = x kg

Using the conversion factor, we can rewrite the equation:

1 kg / 2.205 lb = x kg / 165 lb

Solving for x, we find:

x = (165 lb * 1 kg) / 2.205 lb

Simplifying, we have:

x = 74.83 kg (rounded to two decimal places)

So therefore, the weight of 165 pounds is approximately 74.84 kg. So therefore the correct answer among the given option is A. 74.84.