document.write( "Question 1162000: Use a system of two equations in two variables to solve the problem.\r
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document.write( "At a store, ice cream cones cost $1.80 and sundaes cost $3.30. One day a total of 158 cones and sundaes were sold, and the receipts totaled $389.40. How many cones were sold?\r
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Algebra.Com's Answer #785666 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Use a system of two equations in two variables to solve the problem. \n" ); document.write( "At a store, ice cream cones cost $1.80 and sundaes cost $3.30. \n" ); document.write( " One day a total of 158 cones and sundaes were sold, and the receipts totaled $389.40. \n" ); document.write( " How many cones were sold? \n" ); document.write( ": \n" ); document.write( "let c = no. of cones \n" ); document.write( "let s = no. of sundaes \n" ); document.write( ": \n" ); document.write( "c + s = 158 \n" ); document.write( "1.8c + 3.3s = 389.40 \n" ); document.write( "multiply the 1st equation by 3.3, subtract the 2nd equation \n" ); document.write( "3.3c + 3.3s = 512.40 \n" ); document.write( "1.8c + 3.3s = 389.40 \n" ); document.write( "----------------------Subtraction eliminates s, find c \n" ); document.write( "1.5c = 123.00 \n" ); document.write( "c = 123/1.5 \n" ); document.write( "c = 82 cones sold \n" ); document.write( ": \n" ); document.write( "You can confirm this yourself, there are 158 - 82 = 76 sundaes \n" ); document.write( "see if the receipt total is correct with these values \n" ); document.write( " |