##### Ratios - solve algebraically

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A restaurant has square tables & round tables. There are 4 chairs at the square tables and 6 at the round tables. There are twice the number of square tables as of round tables. What is the ratio of the total number of chairs at the square tables to the total number of chairs at the round tables?

Oct 3rd, 2015

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Let the number of round tables be x.

There are twice the number of square tables as of round tables.

So, the number of square tables = 2x

There are 4 chairs at the square tables and 6 at the round tables.

So, total number of chairs at the square tables = 4*2x = 8x

Total number of chairs at the round table = 6x

$\frac{Total\hspace{5} number\hspace{5} of\hspace{5} chairs\hspace{5} at\hspace{5} the\hspace{5} square\hspace{5} tables}{Total\hspace{5} number\hspace{5} of\hspace{5} chairs\hspace{5} at\hspace{5} the\hspace{5} round\hspace{5} tables}=\frac{8x}{6x}=\frac{4}{3}$

ANSWER:  $\frac{4}{3}$

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Sep 19th, 2015

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