SOLUTION: In order for coffee to be labeled "kona blend", it must contain at least 65% kona beans. Barking Dog Roasters has 50 pounds of 100% kona coffee beans. How much Sumatran coffee mu

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Question 765318: In order for coffee to be labeled "kona blend", it must contain at least 65% kona beans. Barking Dog Roasters has 50 pounds of 100% kona coffee beans. How much Sumatran coffee must they add to the kona beans if they wish to market the Kona coffee as kona blend?
has to be set up like
let x =
let y =
and equations thank you!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The problem needs just one variable.
Let p = the number of pounds of Sumatran coffee to add to the Kona beans.

You want the resulting blend to be 65% Kona.

50%2A100%2F%2850%2Bp%29=65
Adding p pounds of Sumatra coffee will reduce the concentration of Kona in the blend from 100% down to whatever concentration is desired.
SOLVE FOR p.

5000=65%28p%2B50%29
5000=65p%2B3250
65p=5000-3250
65p=1750
p=26%2612%2F13 pounds, but some judgement should be made here about what is most practical. Best would be to bring that fraction down just a little bit, say make it to about 7%2F8 of a pound to ensure at least 65% Kona. Say highlight%28p=26%267%2F8%29 pounds.