SOLUTION: 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?

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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?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

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