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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 fertilizer mix.

A) Write a system of linear equations that represents the situation.

B) Solve the system from part (A).

x+y = 30

The fertilizer concentration of the final mixture is (.20x + .05y)/(x+y)

Did you know?

Did you know that in a system of linear equations, variables can represent different quantities in a real-life problem? In this scenario, a gardener needs to combine two different liquid fertilizers with water to create a new fertilizer mix. The 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 a total of 30 fluid ounces of the new fertilizer mix. To represent this situation mathematically, we can set up a system of linear equations. A) The system of linear equations that represents this situation is: 0.20x + 0.05y = 0.30 (equation for the percentage of fertilizers in the new mix) x + y = 30 (equation for the total volume of the new mix) B) By solving the system of linear equations, we can find the values of x and y that satisfy the given conditions.