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A city has two paint supply stores. Store A sells 44​-gallon containers of paint. Each container covers 1,296 square feet for ​$148. Store B sells paint only by the quart. Each quart sells for ​$9.25 and covers 81 square feet. At each​ store, the cost of paint is in a proportional relationship to the amount. Find the constant of proportionality for Store A. At which store is paint a better​ buy?

 Dec 18, 2016
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I will assume store A sells 4 gallon containers ...not 44 gallon.

$148/4 gal   /   1296sqft/gal /4gal  = $ .11419 sqft

 

Store b

       $(9.25x4)/1 gal    /   (81 x4)sqft/1 gal =$ .11419  sqft

 

They are the same price per sq ft of coverage

 Dec 18, 2016

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