The granular fertilizer 11-11-11 is composed of 11% nitrogen, 11% phosphate, and 11% potassium. similarly, the fertilizer 19-17-0 is composed of 19% nitrogen, 17% phosphate, and 0% potassium. if a gardener mixes a 5 pound bag of 11-11-11 with a 25 pound bag of 19-17-0, what are the concentrations of nitrogen, phosphate, and potassium in the mixture? express the answers as percents.

The farmer would get 30 lb of 18-16-2 fertilizer.

We can use a variation of the dilution formula to solve this problem.

V₁c₁ + V₂c₂ = V₃c₃

For N

5 lb × 11 + 25 lb × 19 = 30 lb × x

55 + 475 = 30x

x = 530/30 = 18

For PO₄

5 lb × 11 + 25 lb × 17 = 30 lb × y

55 + 425 = 30y

y = 480/30 = 16

For K

5 lb × 11 + 25 lb × 0 = 30 lb × z

55 + 0 = 30z

x = 55/30 = 2

The farmer would get 30 lb of 18-16-2 fertilizer.