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A man weighs 175 1b. Express has weight in kg. Given that 1 kg = 2.205 1b.

Answer»

Solution :`"1 kg = 2.205 1b"therefore1=(2.205)/(1kg)=(1kg)/(2.2051b)`
Hence, `"175 1b"=175 cancel(1b)=(1kg)/(2.205cancel(1b))=79.4kg.`
The UNITS '1b' cancel out from the numerator and denominator and the answer is in REQUIRED units, i.e., kg.
Note. If the conversion factor were not correctly USED, the answer WOULD have absured units, e.g., if we WRITE `1751b=1751bxx(2.2051b)/(1kg)`,the answer will have the units `1b^(2)kg^(-1).`


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