document.write( "Question 73231: A seed company sells two grades of grass seed. A 100-pound bag of a mixture of rye and KY bludgrass sells for $245 and a 100 pound bag of bluegrass sells for $347. How many bags of each are sold in a week when the receipts for 19 bags are $5,369.\r
\n" ); document.write( "\n" ); document.write( "I believe the answer is 12 bags of the one priced $245 and 7 bags that sell for $347. However, I doubt that I solved the problem in the correct manner. Will you please tell me the proper way to solve such a problem?\r
\n" ); document.write( "\n" ); document.write( "Thank you.\r
\n" ); document.write( "\n" ); document.write( "ISBN: 0-534-49394-7
\n" ); document.write( "Intermediate Algebra (Alan S. tussy and R. David Gustafson (Third Edition)
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Algebra.Com's Answer #52464 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
GOOD WORK!!!! I DON'T KNOW HOW YOU SOLVED THE PROBLEM, BUT I THINK THAT YOU GOT THE CORRECT ANSWER---------AT LEAST, WE GOT THE SAME ANSWER.\r
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\n" ); document.write( "\n" ); document.write( "Let x=number of bags of the $245 brand that are sold
\n" ); document.write( "Then 19-x =number of bags of the $347 brand that are sold\r
\n" ); document.write( "\n" ); document.write( "Now we know that:\r
\n" ); document.write( "\n" ); document.write( "receipts for the $245 brand are 245x; receipts for the $347 brand are 347(19-x) and we are told that these add up to $5369 so our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "245x+347(19-x)=5369 get rid of parens
\n" ); document.write( "245x+6593-347x=5369 subtract 6593 fron both sides
\n" ); document.write( "245x-347x=5369-6593 collect like terms
\n" ); document.write( "-102x=-1224 divide both sides by -102
\n" ); document.write( "x=12 bags of the $245 brand
\n" ); document.write( "19-x=19-12=7 bags of the $347 brand\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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