document.write( "Question 175877: Billy Joe operates a website where he sells animal pelts he collects. Today, he filled 3 orders. The first one was for 4 skunk pelts, 6 squirrel pelts, and 8 raccoon pelts, and he charged them $572. The second was for 10 squirrel pelts and 10 raccoon pelts, for which he charged $370. The third order was for 45 squirrel pelts, and he charged $540 for that order. (all prices do not include any shipping charges or tax)\r
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document.write( "Use the information provided to determine how much each type of pelt (skunk, squirrel,and raccoon) costs.
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Algebra.Com's Answer #131190 by agosset(4)![]() ![]() ![]() You can put this solution on YOUR website! This is a three equation process and we work our way from one to the next:\r \n" ); document.write( "\n" ); document.write( "First we need to translate the word problem to a number problem: \n" ); document.write( "Let k=price of skunk pelts \n" ); document.write( "Let q=Price of squirrel pelts \n" ); document.write( "Let r=Price or raccon pelts \n" ); document.write( "4 skunk pelts, 6 squirrel pelts, and 8 raccoon pelts, and he charged them $572. \n" ); document.write( "4k+6q+8r=572\r \n" ); document.write( "\n" ); document.write( "The second was for 10 squirrel pelts and 10 raccoon pelts, for which he charged $370. \n" ); document.write( "10q+10r=370\r \n" ); document.write( "\n" ); document.write( "The third order was for 45 squirrel pelts, and he charged $540 for that order \n" ); document.write( "45q=540\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From this last equation we divide all terms by 45 and get:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we replace q by 12 on the second equation: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Last step is to replace r and q on the first equation \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Skunks= $75 \n" ); document.write( "Raccoons= $25 \n" ); document.write( "Squirrels= $12\r \n" ); document.write( "\n" ); document.write( "We can replace numbers on all three equations to verify.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |