Homework Help: college

Posted by Lee on Tuesday, November 23, 2010 at 2:19am.

Please explain with complete step by step instructions.

#8)One type of lawn fertilizer consists of a mixture of nitrogen, phosphorus and potassium. An 80lb sample contains 8 move lbs of nitrogen and phosphorus than potassium. There is 16lb more potasssium than 5 times the amount of phosphorus. Let x be the amount of nitrogen, let y be the amount of phosphorus and let z be the amount potassium in the sample. Find the amount of each of the chemicals in the sample.

X = _____
y = _____
z = _____
(Hint: you must set up and solve a 3 by 3 systems of equations.)

college - drwls, Tuesday, November 23, 2010 at 6:17am
I will assume that you meant "more" where you wrote "move"

The three equations you have to solve are
X + Y + Z = 80 (pounds)
X + Y - Z = 8
Z = 5Y + 16

The first two equations tell you right away that 2Z = 72, so Z = 36

The last equation tells you that 5Y = 20, so Y = 4.
X + 4 + 36 = 80, so X = 40
college - Lee, Tuesday, November 23, 2010 at 10:34am
You're correct move is suppose to be more. Thank you so much for explaining this to me. It's very helpful.

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