A gardener combines X fluid oz od a 20 % liquid fertilizer and 80 % water mix with y fluid Oz of a 5 % liquid fertilizer and 95 % water mix to make 30 fluid oz of a 10 % fertilizer and 90 % water mix. Write and solve the system of linear equations-
.20 X + 0.05y = .10 (30) Solve the first equation for X: X = 30 - y Substitute this value for X into the second equation: .20 (30 - y) + 0.05y = .10 (30) Expand: 6 - .2y + 0.05y = 3 Combine like terms: .15y = 3 Divide by .15: y = 20 fluid oz Substitute this value for y into X = 30 - y and solve for X: X = 10 fluid oz.
