A coffee house sells a blended coffee that is made using a $6-per-pound grade and a $4.50 per-pound Grade. If 5 pounds of this b lend costs $27, How many pounds of each type of coffee are in the mixture?
1 answer:
Answer:
3 lbs of $6 coffee 2 lbs of $4.50 coffee Step-by-step explanation:
Let x represent the number of pounds of $6 coffee. Then the total cost of the mix is ...
6x + 4.50(5 -x) = 27
1.5x +22.50 = 27.00 . . . . . . simplify
1.5x = 4.50 . . . . . . . . . . . . . . subtract 22.50
x = 3 . . . . . . . . . . . . . . . . . . . .divide by 1.5; pounds of $6 coffee
5 -x = 2 . . . . . . . . . . . . . . . . . pounds of $4.50 coffee
3 pounds of $6 coffee and 2 pounds of $4.50 coffee were used in the mix .
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