document.write( "Question 175878: 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,
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document.write( "and raccoon) costs. \n" );
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Algebra.Com's Answer #131006 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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) \n" ); document.write( ": \n" ); document.write( "Let x = price of skunks \n" ); document.write( "Let y = price of squirrels \n" ); document.write( "Let z = price of raccoons \n" ); document.write( "; \n" ); document.write( "Write an equation for each order: \n" ); document.write( "4x + 6y + 8z = 572 \n" ); document.write( "0x +10y +10z = 370 \n" ); document.write( "0x +45y + 0z = 540 \n" ); document.write( ": \n" ); document.write( "Find the price of squirrels using the last equation: \n" ); document.write( "45y = 540 \n" ); document.write( "y = \n" ); document.write( "y = $12 for each squirrel \n" ); document.write( ": \n" ); document.write( "we know y=12, find z using the 2nd equation \n" ); document.write( "10(12) + 10z = 370 \n" ); document.write( "120 + 10z = 370 \n" ); document.write( "10z = 370 - 120 \n" ); document.write( "10z = 250 \n" ); document.write( "z = $25 for each raccoon \n" ); document.write( ": \n" ); document.write( "we know y and z, find x using the 1st equation: \n" ); document.write( "4x + 6(12) + 8(25) = 572 \n" ); document.write( "4x + 72 + 200 = 572 \n" ); document.write( "4x = 572 - 272 \n" ); document.write( "4x = 300 \n" ); document.write( "x = \n" ); document.write( "x = $75 for each skunk \n" ); document.write( ": \n" ); document.write( "Check solutions in all three original equations \n" ); document.write( " |