SOLUTION: The Cookie Crumble Company sells two kinds of cookies. Peanut butter are $6.50 per dozen and chocolate chip are $9.00 per dozen. They sold 85 dozen more peanut butter than chocolat

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Question 401518: The Cookie Crumble Company sells two kinds of cookies. Peanut butter are $6.50 per dozen and chocolate chip are $9.00 per dozen. They sold 85 dozen more peanut butter than chocolate chip cookies. The total sales for both were $4055.50. How many dozens of each were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = dozens of peanut butter cookies sold
Let c = dozens of chocolate chip cookies sold
given:
(1) p+=+c+%2B+85
(2) 650p+%2B+900c+=+405550
-----------------------
Substitute (1) into (2)
650%2A%28c+%2B+85%29+%2B+900c+=+405550
650c+%2B+55250+%2B+900c+=+405550
1550c+=+350300
c+=+226
and, from (1)
p+=+226+%2B+85
p+=+311
311 dozen peanut butter cookies were sold
226 dozen chocolate chip cookies were sold
check answer:
(2) 650p+%2B+900c+=+405550
650%2A311+%2B+900%2A226+=+405550
202150+%2B+203400+=+405550
405550+=+405550
OK