document.write( "Question 254132: Cones cost $1.10 and sundaes cost $2.35. A total of 172 cones and sundaes cost $294.20. How many cones where purchased. Tell if mutliple answers, infinite answer or no solution. My daughter's class working on slopes. \n" ); document.write( "

Algebra.Com's Answer #186422 by dabanfield(803) $\"\"$ $\"About$

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Cones cost $1.10 and sundaes cost $2.35. A total of 172 cones and sundaes cost $294.20. How many cones where purchased. Tell if mutliple answers, infinite answer or no solution. My daughter's class working on slopes.\r
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\n" ); document.write( "\n" ); document.write( "Let s be the number of sundaes purchased. Then the number of cones purchased must be 172-s.\r
\n" ); document.write( "\n" ); document.write( "Then we have:\r
\n" ); document.write( "\n" ); document.write( "2.35*s + (172-s)*1.10 = 294.20\r
\n" ); document.write( "\n" ); document.write( "Muliplying both sides by 100 and simplifying we have: \r
\n" ); document.write( "\n" ); document.write( "235*s + 172*110 - 110*s = 29420
\n" ); document.write( "125*s = 29420 - 18920 = 10500
\n" ); document.write( "s = 10500/125 = 84\r
\n" ); document.write( "\n" ); document.write( "The number of cones then is 172-84 = 88\r
\n" ); document.write( "\n" ); document.write( "There is one solution. \n" ); document.write( "

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