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Business and finance. A coffee merchant has coffee beans that sell for $9 per?


Business and finance. A coffee merchant has coffee beans that sell for $9 per
pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture
that will sell for $11.25 per pound. How much of each type of bean should be
used in the mixture?

x lb of $9 beans
y lb of $12 beans

#1
9x + 12y = 11.25*100 = 1125

#2
x + y = 100

#2 times 9, #3
9x + 9y = 900

#1 - #3
3y = 225
y = 75
x = 100 - y
=100 - 75
= 25

answer =
25 lb of $9 beans mixed with 75 lb of $12 beans.

x = % of the $9 coffee
y = % of the $12 coffee

9x + 12y = 11.25
x + y = 1

x = 1 - y
9(1-y) + 12y = 11.25
9 - 9y +12y = 11.25
9 + 3y = 11.25
3y = 2.25
y = .75
x = .25

25% of the $9 , 75% of the $12

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