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if 6 1/4 yards of fabric costs $25.50, what will 2 1/2 yards cost

 Apr 28, 2016
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Let \(x\) = price of \(2\frac{1}{2}\) yards of fabric

\(\frac{6\frac{1}{4}}{25.5}=\frac{2\frac{1}{2}}{x}\)

 

\(\frac{\frac{25}{4}}{\frac{51}{2}}=\frac{\frac{5}{2}}{x}\)

 

\(\frac{25}{4}\times\frac{2}{51}=\frac{5}{2}\times\frac{1}{x}\)

 

\(\frac{50}{204}=\frac{5}{2x}\)

 

\(50\times2x=204\times5\)

 

\(100x=1020\)

 

\(x=10.2\)

 

\(2\frac{1}{2}\) yards of fabric will cost \($10.20\) when \(6\frac{1}{4}\) yards of fabric costs \($25.50.\)

 Apr 28, 2016

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