SOLUTION: The local coffee shop combines two kinds of beans to make a blended mixture of beans. If Ethiopian Harrar beans cost $7.25 per pound, and Arabian Mocha beans cost $13.70 per pou

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The local coffee shop combines two kinds of beans to make a blended mixture of beans. If Ethiopian Harrar beans cost $7.25 per pound, and Arabian Mocha beans cost $13.70 per pou      Log On


   



Question 349038: The local coffee shop combines two kinds of beans
to make a blended mixture of beans. If Ethiopian
Harrar beans cost $7.25 per pound, and Arabian
Mocha beans cost $13.70 per pound, how many
pounds of each should be used to make 3 pounds of
a blend that costs $10.26 per pound?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let e = pounds of E. H. beans needed
Let a = pounds of A. M. beans needed
given:
(1) e+%2B+a+=+3
cost of e is 7.25e
cost of a is 13.7a
-----------------------------
(2) 7.25e+%2B+13.7a+=+3%2A10.26
(2) 7.25e+%2B+13.7a+=+30.78
Multiply both sides of (1) by 7.25
and subtract from (2)
(2) 7.25e+%2B+13.7a+=+30.78
(1) -7.25e+-+7.25a+=+-21.75
6.45a+=+9.03
a+=+1.4
e+=+3+-+1.4
e+=+1.6
1.4 pounds of A.M. and 1.6 pounds of E. H. are needed