document.write( "Question 444577: i paid 17.70 for 12 calamansi and 14 guavas. at the same price my sister paid 21.60 for 6 calamansi amd 24 guavas.find the cost of each?:( \n" ); document.write( "

Algebra.Com's Answer #306426 by oberobic(2304) $\"\"$ $\"About$

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c = price of each calamansi
\n" ); document.write( "g = price of each guava
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\n" ); document.write( "12c + 14g = 17.70
\n" ); document.write( "6c + 24g = 21.60
\n" ); document.write( ".
\n" ); document.write( "Multiply the 2nd equation by 2
\n" ); document.write( "Then subtract
\n" ); document.write( "12c + 14g = 17.70
\n" ); document.write( "12c + 48g = 43.20
\n" ); document.write( "0c -34g = -25.50
\n" ); document.write( "g = .75
\n" ); document.write( "Each guava costs 75 cents.
\n" ); document.write( ".
\n" ); document.write( "Substituting into the first equation...
\n" ); document.write( "12c + 14(.75) = 17.70
\n" ); document.write( "12c + 10.5 = 17.70
\n" ); document.write( "12c = 17.70 - 10.5
\n" ); document.write( "12c = 7.20
\n" ); document.write( "c = .6
\n" ); document.write( "Each calamansi costs 60 cents.
\n" ); document.write( ".
\n" ); document.write( "Always check your work!
\n" ); document.write( "6(.60) + 24(.75) = 21.6 ??
\n" ); document.write( "3.6 + 18 = 21.6
\n" ); document.write( "Yes.
\n" ); document.write( "12(.6) + 14(.75) = 17.70 ??
\n" ); document.write( "7.2 + 10.5 = 17.7
\n" ); document.write( "Yes.
\n" ); document.write( ".
\n" ); document.write( "Answer: Each calamansi cost 60 cents and each guava cost 75 cents, or each calamansi cost $0.60 and each guava cost $0.75.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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