document.write( "Question 162434: IF 12 KILOS OF POTATOES AND 6 KILOS OF RICE COST 732 PESO WHILE 9 KILOS OF POTATOES AND 13 KILOS OF RICE COST 923 PESOS, WHAT IS THE PRICE OF EACH PER KILO? \n" ); document.write( "

Algebra.Com's Answer #119706 by jojo14344(1513) $\"\"$ $\"About$

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\n" ); document.write( "1st condition:
\n" ); document.write( " $\"12kPT%2B6kRC=732\"$ ----------------------> EQN 1
\n" ); document.write( " $\"9kPT%2B13kRC=923\"$ ----------------------> EQN 2
\n" ); document.write( "In EQN 1 we get,
\n" ); document.write( " $\"RC=%28732-12kPT%29%2F6k\"$ -------------------> EQN 3
\n" ); document.write( "Subst. EQN 3 in EQN 2:
\n" ); document.write( " $\"9kPT%2B13k%28%28732-12kPT%29%2F6k%29=P923\"$ , Distribute
\n" ); document.write( " $\"9kPT%2B%28%289516-156kPT%29%2F6%29=P923\"$ , Add by getting common denominator \"6\"
\n" ); document.write( " $\"%2854kPT%2B9516-156kPT%29%2F6=P923\"$ , cross multiply
\n" ); document.write( " $\"54kPT%2B9516-156kPT=923%2A6=P5538\"$
\n" ); document.write( " $\"P9516-P5538=156kPT-54kPT\"$ , Combine similar terms
\n" ); document.write( " $\"P3978=102PT\"$
\n" ); document.write( " $\"cross%28P3978%29P39%2Fcross%28102%29=cross%28102%29PT%2Fcross%28102%29\"$
\n" ); document.write( " $\"PT=P39.00%2Fk\"$ , cost of Potato per kilo
\n" ); document.write( "Go back EQN 3:
\n" ); document.write( " $\"RC=%28732-12%2A39%29%2F6=%28732-468%29%2F6=264%2F6\"$
\n" ); document.write( " $\"RC=P44.00%2Fk\"$ , cost of Rice per kilo
\n" ); document.write( "In doubt? Go back EQN 1
\n" ); document.write( " $\"12%2A39%2B6%2A44=732\"$
\n" ); document.write( " $\"468%2B264=732\"$
\n" ); document.write( " $\"P732.00=P732.00\"$
\n" ); document.write( "Via EQN 2:
\n" ); document.write( " $\"9%2A39%2B13%2A44=923\"$
\n" ); document.write( " $\"351%2B572=923\"$
\n" ); document.write( " $\"P923.00=P923.00\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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