SOLUTION: a box of walnuts mixed with pecans costs 15.75. walnuts cost 3.75/lb and pecans cost 4.50/lb. the number of pounds of walnut is 3 times the number of pounds of pecans. how many pou

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: a box of walnuts mixed with pecans costs 15.75. walnuts cost 3.75/lb and pecans cost 4.50/lb. the number of pounds of walnut is 3 times the number of pounds of pecans. how many pou      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1016276: a box of walnuts mixed with pecans costs 15.75. walnuts cost 3.75/lb and pecans cost 4.50/lb. the number of pounds of walnut is 3 times the number of pounds of pecans. how many pounds of each type are there?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a box of walnuts mixed with pecans costs 15.75. walnuts cost 3.75/lb and pecans cost 4.50/lb. the number of pounds of walnut is 3 times the number of pounds of pecans. how many pounds of each type are there?
-------
Quantity:: w = 3p
Value:: 3.75w + 4.5p = 15.75
------
Modify::
375w + 450p = 1575
------
375(3p) + 450p = 1575
-----------------------
1125p + 450p = 1575
----
1575p = 1575
p = 1 lb (wt. of pecans needed in the mixture)
-----
w = 3p
w = 3 lb (wt. of walnuts needed)
------
Cheers,
Stan H.
----------