SOLUTION: A potting mixture contains 12% peat Moss and 6% vermiculite. How much peat and how much vermiculite must be added to 100 pounds of this mixture to produce a new mixture having 15%

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A potting mixture contains 12% peat Moss and 6% vermiculite. How much peat and how much vermiculite must be added to 100 pounds of this mixture to produce a new mixture having 15%       Log On


   

Question 893072: A potting mixture contains 12% peat Moss and 6% vermiculite. How much peat and how much vermiculite must be added to 100 pounds of this mixture to produce a new mixture having 15% Peat and 15% vermiculite?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p pounds of peat moss
v pounds of vermiculite

Total mixture: 100%2Bp%2Bv

Total peat moss: 100%2A%280.12%29%2Bp

Total vermiculite: 100%2A%280.06%29%2Bv

15% Peat Moss: highlight_green%28%28100%280.12%29%2Bp%29%2F%28100%2Bp%2Bv%29=0.15%29
15% Vermiculite: highlight_green%28%28100%280.06%29%2Bv%29%2F%28100%2Bp%2Bv%29=0.15%29

These are two linear equations in the two variables p and v.