Convert hundredweight to firkin
Learn how to convert
1
hundredweight to
firkin
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(hundredweight\right)={\color{rgb(20,165,174)} x}\left(firkin\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(hundredweight\right) = {\color{rgb(89,182,91)} 50.80234544\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 50.80234544\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(firkin\right) = {\color{rgb(125,164,120)} 25.40117272\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 25.40117272\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(hundredweight\right)={\color{rgb(20,165,174)} x}\left(firkin\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 50.80234544} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 25.40117272}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 50.80234544} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 25.40117272} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 50.80234544} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 25.40117272} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(50.80234544 = {\color{rgb(20,165,174)} x} \times 25.40117272\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 25.40117272 = 50.80234544\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{25.40117272}\right)\)
\({\color{rgb(20,165,174)} x} \times 25.40117272 \times \dfrac{1.0}{25.40117272} = 50.80234544 \times \dfrac{1.0}{25.40117272}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{25.40117272}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{25.40117272}}} = 50.80234544 \times \dfrac{1.0}{25.40117272}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{50.80234544}{25.40117272}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 2\)
\(\text{Conversion Equation}\)
\(1.0\left(hundredweight\right) = {\color{rgb(20,165,174)} 2}\left(firkin\right)\)