Fertilizer is sold in bags labelled with three numbers that indicate the amount of nitrogen (N), phosphoric acid (P2O5), and potash (K2O) present. A bag of Vigoro Ultra Turf has the numbers "29−3−4," which means that 100 pounds of this fertilizer contains 29 pounds of nitrogen, 3 pounds of phosphoric acid, and 4 pounds of potash. A bag of Parker's Premium Starter has 18 pounds of nitrogen, 25 pounds of phosphoric acid, and 6 pounds of potash per 100 pounds.


Required:

Determine the amount of each type required (Number of bags required of Vigoro and Parker's) to yield a mixture containing the given amounts of nitrogen, phosphoric acid, and potash. 224 pounds of nitrogen, 162 pounds of phosphoric acid, and 52 pounds of potash.