Can someone help me set up a system of equations with 3 variables for the following problem? You are a lab technician and must create 250 ml of a 17% salt solution. You have available 3 stock solutions. You have a one liter container of a 5% salt solution, a 500ml container of a 28% salt solution, and a 400ml container of a 40% salt solution. Show the work necessary to calculate the cheapest method of preparing the 17% salt solution if the 5% solution costs $28 per liter, the 28% solution costs $38 per liter and the 40% solution costs $50 per liter.

I have x+y+z=250 and .05x+.28y+.40z=250(.17

Question

Can someone help me set up a system of equations with 3 variables for the following problem? You are a lab technician and must create 250 ml of a 17% salt solution. You have available 3 stock solutions. You have a one liter container of a 5% salt solution, a 500ml container of a 28% salt solution, and a 400ml container of a 40% salt solution. Show the work necessary to calculate the cheapest method of preparing the 17% salt solution if the 5% solution costs $28 per liter, the 28% solution costs $38 per liter and the 40% solution costs $50 per liter.

I have x+y+z=250 and .05x+.28y+.40z=250(.17