Fertilizer is sold in 100 pound bags labelled with the amount of nitrogen ( N), phosphoric acid ( P2O5), and potash ( K2O) present. The mixture of these nutrients varies from one type of fertilizer to the next.
For example, a 100 pound bag of Vigoro Ultra Turf fertilizer contains 29 pounds of nitrogen, 3 pounds of phosphoric acid, and 4 pounds of potash.
Another type of fertilizer, Parker’s Premium Starter, has 18 pounds of nitrogen, 25 pounds of phosphoric acid, and 6 pounds of potash per 100 pounds.
Determine the amount of each type required to yield a mixture containing the 181 pounds of nitrogen, 65 pounds of phosphoric acid, and 32 pounds of potash.
The mixture contains_____ pounds of Vigoro, and ______pounds of Parker’s. ???
If you use
v bags of Vigoro
p bags of Parker's
then you need
29v+18p = 181
3v+25p = 65
4v+6p = 32
Now just solve for v and p in the usual way.