SOLUTION: Maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How many gallons of each kind of syrup are needed to make

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Question 280121: Maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How many gallons of each kind of syrup are needed to make 50 gallons of the mixture?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = galloons of maple syrup needed
Let c = gallons of corn syrup needed
given:
m+%2B+c+=+50 gal
600m+%2B+80c+=+236%2A50 (in cents)
By substitution:
600m+%2B+80%2A%2850+-+m%29+=+11800
600m+%2B+4000+-+80m+=+11800
520m+=+7800
m+=+15
and, since
m+%2B+c+=+50
c+=+50+-+15
c+=+35
15 gallons of maple syrup and 35 gallons of corn syrup are needed
check:
600m+%2B+80c+=+236%2A50
600m+%2B+80c+=+11800
600%2A15+%2B+80%2A35+=+11800
9000+%2B+2800+=+11800
11800+=+11800
OK