document.write( "Question 1162000: Use a system of two equations in two variables to solve the problem.\r
\n" ); document.write( "\n" ); 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
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #785666 by ankor@dixie-net.com(22740)\"\" \"About 
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( "
\n" );