SOLUTION: Susan wants to mix 10 pounds of Virginia peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound to obtain a mixture that costs $3.40 a pound. How many pounds

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Susan wants to mix 10 pounds of Virginia peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound to obtain a mixture that costs $3.40 a pound. How many pounds       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 536491: Susan wants to mix 10 pounds of Virginia peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound to obtain a mixture that costs $3.40 a pound. How many pounds of Spanish peanuts should she use?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of Spanish peanuts she needs
given:
+3.5%2A10+=+35+ cost of Virginia peanuts used
+3x+ = cost of Spanish peanuts used
-------------
( cost of peanuts ) / ( weight in pounds ) = cost per pound of mixture
+%28+35+%2B+3x+%29+%2F+%28+10+%2B+x+%29+=+3.4+
+35+%2B+3x+=+3.4%2A%28+10+%2B+x+%29+
+35+%2B+3x+=+34+%2B+3.4x+
+.4x+=+1+
+x+=+2.5+
She needs 2.5 pounds of spanish peanuts
check:
+%28+35+%2B+3%2A2.5+%29+%2F+%28+10+%2B+2.5+%29+=+3.4+
+%28+35+%2B+7.5+%29+%2F+12.5+=+3.4+
+42.5+%2F+12.5+=+3.4+
+42.5+=+3.4%2A12.5+
+42.5+=+42.5+
OK