SOLUTION: a certain municipality recycled eight times as many tons of plastic as yard waste in one year. If the total amount was 387 tons, how much plastic and how much yard waste was recycl

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Question 941769: a certain municipality recycled eight times as many tons of plastic as yard waste in one year. If the total amount was 387 tons, how much plastic and how much yard waste was recycled?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Plastic waste=P=8Y; Yard waste =Y Total=387 tons
P+Y=387 tons Substitute for P
8Y+Y=387 tons
9Y=387 tons Divide both sides by 9
9Y/9=387/9 tons
Y=43 tons
P=8Y=8(43 tons)=344 tons
CHECK:
total is 367 tons
P+Y=387 tons
344 tons + 43 tons = 387 tons
387 tons=387 tons