Answer:
4 pounds of of Vigoro Ultra Turf fertilizer and 1 pound of Parkera's Premium Starter will yield the required mixture.
Step-by-step explanation:
In bag of Vigoro Ultra Turf fertilizer:
29 pounds of nitrogen, 3 pounds of phosphoric acid, and 4 pounds of potash
In bag of Parkera's Premium Starter:
18 pounds of nitrogen, 25 pounds of phosphoric acid, and 6 pounds of potash
Let the mass of Vigoro Ultra Turf fertilizer = x
Amount of nitrogen in x amount = 29 x
Amount of phosphoric acid in x amount = 3x
Let the mass of Parkera's Premium Starter= y
Amount of nitrogen in y amount = 18 y
Amount of phosphoric acid in y amount = 25 y
Amount of nitrogen in desired mixture formed by combing x and y fertilizers bag : 134 pounds
29 x + 18 y = 134 ..[1]
Amount of phosphoric acid in desired mixture formed by combing x and y fertilizers bag : 37 pounds
3x + 25 y = 37 ..[2]
Solving [1] anf [2] by substitution method :
y = 1
4 pounds of of Vigoro Ultra Turf fertilizer and 1 pound of Parkera's Premium Starter will yield the required mixture.