document.write( "Question 248529: an icecream cone costs 1.10 and a sunday costs 2.35. if 170 cones & sunday receipt were sold for a total of 294.4.how many cones were sold? \n" ); document.write( "

Algebra.Com's Answer #181139 by oberobic(2304) $\"\"$ $\"About$

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c = number of cones
\n" ); document.write( "110c = revenue generated by the sale of cones in cents
\n" ); document.write( "s = number of sundaes
\n" ); document.write( "235s = revenue generated by the sale of sundaes in cents
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\n" ); document.write( "110c + 235s = 29440 (given)
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\n" ); document.write( "And we have another fact:
\n" ); document.write( "c + s = 170
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\n" ); document.write( "Two equations and two unknowns is solvable.
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\n" ); document.write( "We can easily determine c.
\n" ); document.write( "c = 170 - s
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\n" ); document.write( "Now substitute into the other equation.
\n" ); document.write( "110c + 235s = 29440
\n" ); document.write( "110(170-s) + 235s = 29440
\n" ); document.write( "18700 - 110s + 235s = 29440
\n" ); document.write( "125s = 10740
\n" ); document.write( "s = 85.92 sundaes sold
\n" ); document.write( "2.35s = 201.912
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\n" ); document.write( "c = 170 - s = 170 - 85.92
\n" ); document.write( "c = 84.08
\n" ); document.write( "1.10c = 92.488
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\n" ); document.write( "Total = 201.912 + 92.488
\n" ); document.write( "Total = 294.4
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\n" ); document.write( "These are hard numbers to work with, but the answer checks. \n" ); document.write( "

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