document.write( "Question 27356: please help me solve this..i've been working on it for half an hour!\r
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document.write( "at an ice cream parlor, ice cream cones are $ 1.10 and sundaes are $2.35. one day, the receipts for a total of 172 cones and sundaes were $294.20. how many cones were sold? \r
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document.write( "thanks so much!! \n" );
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Algebra.Com's Answer #14852 by whty89(20)![]() ![]() ![]() You can put this solution on YOUR website! 1.) assign variables, x=cones, y=sundaes \n" ); document.write( "2.) set it up as a system of equations, this is how you set it up, \n" ); document.write( " x + y=172 \n" ); document.write( "1.1x+2.35y=294.2 \n" ); document.write( "3.)solve for a variable by substitution of elimination. I think elimination would be easiest. \n" ); document.write( "4.) multiply the top equation by -1.1 so the x's will cancel, now you have \n" ); document.write( "-1.1x + -1.1y= -189.2, for the top equation \n" ); document.write( " 1.1x + 2.35y=294.2, for the bottom equation \n" ); document.write( "5.) you add the two equations together. the x's cancel and you have \n" ); document.write( "1.25y=105, solve for y by dividing 105 by 1.25. y =84 \n" ); document.write( "6.) plug 84 back into one of the original equations for y \n" ); document.write( "x + 84 = 172, subtract 84 from both sides x=88 \n" ); document.write( "88 cones were sold and 84 sundaes were sold \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |