find x and y?

Question

how many gallons y of a 50% solution must be mixed with x gallons of a 20% salt solution  to produce 10 gallons of a 38% salt solution.  set up with two equations

Answer 1

y = gallons of a 50% solution

x = gallons of a 20% solution

 

 

equation 1

 

x+y=10

 

10 gallons are produced between the two solutions, which means you need to start with a total of 10 gallons.

 

equation 2

 

 

.5y + .2x = .38(10)