Lucien can buy 1 lb of Colombian coffee beans for $4.25 you can buy one pound of French roast coffee beans for $3.75 if he buys one pound mixture of the two kinds of beans for $4 how much of each kind of coffee bean does he buy

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isyllus isyllus · Answer 1 · 2020-10-17T02:33:34+02:00

Answer:

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

Step-by-step explanation:

Let Colombian coffee bought = [tex]x[/tex] lbs

Total weight of mixture bought = 1 lbs

Therefore, French roast coffee beans bought = (1 - [tex]x[/tex]) lbs

Price of 1 lb Colombian coffee = $4.25

Price of [tex]x[/tex] lbs of Colombian coffee = $[tex]4.25x[/tex]

Price of 1 lb French roast coffee beans = $3.75

Price of (1 - [tex]x[/tex]) lbs French roast coffee beans = $3.75(1 - [tex]x[/tex])

It is given that total money spent is $4.

As per given statement:

[tex]4.25x+3.75(1-x)=4\\\Rightarrow 0.50x=0.25\\\Rightarrow x=\bold{0.5\ lbs}[/tex]

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs