SOLUTION: Scott's Winterizer Lawn Fertilizer is 22% nitrogen. Schultz's Lime with Lawn Fertilizer is 4% nitrogen. William Weaver, owner of Weaver's Nursery, wishes to mix these two fertilize

Question 725240: Scott's Winterizer Lawn Fertilizer is 22% nitrogen. Schultz's Lime with Lawn Fertilizer is 4% nitrogen. William Weaver, owner of Weaver's Nursery, wishes to mix these two fertilizers to make 400 pounds of a special 10% nitrogen mixture for midseason lawn feeding. How much of each fertilizer should he mix?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of 22% fertilizer needed
Let = pounds of 4% fertilizer needed
given:
(1)
(2)
-----------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and
(1)

133.33 pounds of 22% fertilizer are needed
266.67 pounds of 4% fertilizer are needed
check:
(2)
(2)
(2)
(2)
(2)
close enough
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