SOLUTION: A shopkeeper orders 70 pounds of cashews and peanuts. If the amount of cashews he orders is 20 pounds less than the amount of peanuts, how many pounds of peanuts did he order? Solv

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Question 565075: A shopkeeper orders 70 pounds of cashews and peanuts. If the amount of cashews he orders is 20 pounds less than the amount of peanuts, how many pounds of peanuts did he order? Solve the problem by writing and solving a suitable sytem of equations.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = pounds of peanuts he ordered
Let +c+ = pounds of cashews he ordered
given:
(1) +p+%2B+c+=+70+
(2) +c+=+p+-+20+
-------------
Substitute (2) into (1)
(1) +p+%2B+p+-20+=+70+
(1) +2p+=+70+%2B+20+
(1) +2p+=+90+
(1) +p+=+45+
He ordered 45 pounds of peanuts
check:
(2) +c+=+45+-+20+
(2) +c+=+25+
and
(1) +45+%2B+25+=+70+
(1) +70+=+70+
OK