Question

A gardener combines x fluid ounces of a 20% liquid fertilizer and 80% water mix with y fluid ounces of a 5% liquid fertilizer and 95% water mix to make 30 fluid ounces of a new 10% fertilizer mix.
A) Write a system of linear equations that represents the situation.

B) Solve the system from part (A). Make sure you show your work.
This is what question 15 should say. It was missing the "10%" before

Answer 1

obvious first equation: x + y = 30

amount of liquid fertilizer we have :
.2x + .05y = .1(30)
by 100:
20x + 5y = 300
4x + y = 60

so we have:
x + y = 30
4x + y = 60

continue from here,
looks straight forward from here, comes out nicely