macmanning macmanning

02-12-2014
Mathematics

Answered

A model of a famous statue is 2 1/2 inches tall the actual statue is six and two thirds feet tall what is the ratio of the height of the model to the height of the actual statue in simplest form

Verified Answer :

02-12-2014

\(1\ foot=12\ inches\\6\frac{2}{3}\ feet=6\frac{3}{2}\cdot12=\frac{15}{2}\cdot12=90\ inches\\\\2\frac{1}{2}=\frac{5}{2}\\\\Ratio:\\\\\frac{\frac{5}{2}}{90}=\frac{2}{5}\cdot90=\frac{180}{5}=\frac{36}{1}\\\\Ratio\ is\ equal\ 36:1\)

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