100# of coffee is $13.50. How much of A @ $9/# and B @ $15/#?

Question

A = 9.00/lb, B = 15.00/lb. 100 lb. = 13.50/lb. How much of each?

 

Answer 1

I assume this problem should read like this:

 

A mixture of 100 pounds of coffee costs $13.50 per pound.  How many pounds of A at $9 per pound and B at $15 per pound are in the mix?

 

 

Let A stand for pounds of coffee A.

 

100 - A is the number of pounds of coffee B.

 

9A + 15(100 - A) = (13.50)100

 

Simplify.

 

9A + 15(100 - A) = 1350

 

9A + 1500 - 15A = 1350

 

- 6A + 1500 = 1350

 

- 6A = - 150

 

A = 25

 

B = 100 - 25 = 75

 

There are 25 pounds of A and 75 pounds of B in the mixture.