document.write( "Question 53563: If prunes cost $2.90/lb and apricots cost $3.15/lb and a total of 20 lbs of the two combined was sold for $59.75. How many pounds of each fruit was sold?
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Algebra.Com's Answer #35859 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If prunes cost $2.90/lb and apricots cost $3.15/lb and a total of 20 lbs of the two combined was sold for $59.75. How many pounds of each fruit was sold? \n" ); document.write( ": \n" ); document.write( "A standard mixture problem, learn this method and you can do most of these type of problems. \n" ); document.write( ": \n" ); document.write( "Let x = no. of lbs of prunes \n" ); document.write( ": \n" ); document.write( "The two fruit amts add up to 20, so we can say: \n" ); document.write( "(20-x) = no of lbs of apricots \n" ); document.write( ": \n" ); document.write( "2.90(x) + 3.15(20-x) = 59.75 \n" ); document.write( ": \n" ); document.write( "2.9x + 63 - 3.15x = 59.75 \n" ); document.write( ": \n" ); document.write( "2.9x - 3.15x = 59.75 - 63 \n" ); document.write( ": \n" ); document.write( "-.25x = -3.25 \n" ); document.write( ": \n" ); document.write( "x = -3.25/-.25 \n" ); document.write( ": \n" ); document.write( "x = +13 lb of prunes \n" ); document.write( ": \n" ); document.write( "then 20 - 13 = 7 lb of apricots \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check out solution: \n" ); document.write( " 2.9(13) + 3.15(7) = \n" ); document.write( " 37.7 + 22.05 = 59.75 \n" ); document.write( " \n" ); document.write( " |