Question

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​

Answer 1

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

Explanation:

Let Colombian coffee bought =
`x` lbs

Total weight of mixture bought = 1 lbs

Therefore, French roast coffee beans bought = (1 -
`x`) lbs

Price of 1 lb Colombian coffee = $4.25

Price of
`x` lbs of Colombian coffee = $
`4.25x`

Price of 1 lb French roast coffee beans = $3.75

Price of (1 -
`x`) lbs French roast coffee beans = $3.75(1 -
`x`)

It is given that total money spent is $4.

As per given statement:

`4.25x+3.75(1-x)=4\\\Rightarrow 0.50x=0.25\\\Rightarrow x=\bold{0.5\ lbs}`

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs