Mixture problem

Question

a chef mixes three types of salt and vinigar solutions to make 100 pounds of solution that is 30% salt and 30% vinigar. Type A is 20$ salt and 30%vingar, Type B is 20% salt and 10% vingar, type C is 60% sail and 20% vinigar. How many pounds of each should be mixed?

Answer 1

Let x = pounds of Type A,

 

y = pounds of Type B, and

 

z = pounds of Type C.

 

 

From the description of the problem, write down what is given:

 

 

    x  +     y +      z = 100

 

0.2x + 0.2y + 0.6z =   30

 

0.3x + 0.1y + 0.2z =   30

 

 

 

Using the equation solver on a calculator,

 

x = 87.5 pounds

 

y = -12.5 pounds

 

z = 25 pounds

 

Note that we can't have a negative mass for the answer (Type B), so it's not possible to make the mixture with the given solutions.