Question

one kilogram is approximately 2.2 pounds. determine how many kilograms are equal to 185 pounds. round to the nearest whole number.
determine the proportion to use to solve this problem.

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2.2 kilograms x kilograms 185 pounds x pounds 2.2 pounds 1 pound 1 kilogram

Answer 1

To convert pounds to kilograms using the given approximation that 1 kilogram is approximately 2.2 pounds, we can set up the proportion as follows:

\[
\frac{2.2 \text{ pounds}}{1 \text{ kilogram}} = \frac{185 \text{ pounds}}{x \text{ kilograms}}
\]

Where \( x \) is the number of kilograms we want to find.

To solve for \( x \), we can cross-multiply:

\[
2.2 \text{ pounds} \cdot x \text{ kilograms} = 185 \text{ pounds} \cdot 1 \text{ kilogram}
\]

This simplifies to:

\[
2.2x = 185
\]

Now, divide both sides by 2.2:

\[
x = \frac{185}{2.2} \approx 84.09
\]

Rounding to the nearest whole number, we find:

\[
x \approx 84
\]

So, the final answer is that 185 pounds is approximately **84 kilograms**.

To summarize the complete proportion used:

\[
\frac{2.2 \text{ pounds}}{1 \text{ kilogram}} = \frac{185 \text{ pounds}}{84 \text{ kilograms}}
\]