SOLUTION: A coffe mixture has beans that sell for $0.72 a pound and beans that sell for 0.52. If 110 pounds of beans create a mixture worth $0.74 a pound, how much of each bean is used? M

Question 1049761: A coffe mixture has beans that sell for $0.72 a pound and beans that sell for 0.52. If 110 pounds of beans create a mixture worth $0.74 a pound, how much of each bean is used? Model a scenario then solve it. Explain if it is reasonable or not! Help!
Found 2 solutions by ikleyn, stanbon:
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
Formally (mathematically) speaking the problem has no solution.

In order for the solution does exist, the price of blend MUST be in between the prices of components.

For similar problems see the lessons
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts
    - Word problems on mixtures for dry substances like candies, dried fruits
    - Typical word problems on mixtures from the archive
    - OVERVIEW of lessons on word problems for mixtures
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

It contains many other solved word problems, as well as many other interesting and useful things.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A coffee mixture has beans that sell for $0.72 a pound and beans that sell for 0.52. If 110 pounds of beans create a mixture worth $0.74 a pound, how much of each bean is used? Model a scenario then solve it. Explain if it is reasonable or not! Help!
-----
There is no way that $0.72 beans can be mixed with
beans of less value to get a mix worth more than 72 cents a pound.
Cheers,
Stan
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