SOLUTION: Cashews sell for $1.20 per quarter-pound, and Brazil nuts sell for $1.50 per quarter-pound. How many pounds of cashews should be mixed with 20 pounds of Brazil nuts to obtain a mix

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Cashews sell for $1.20 per quarter-pound, and Brazil nuts sell for $1.50 per quarter-pound. How many pounds of cashews should be mixed with 20 pounds of Brazil nuts to obtain a mix      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 559325: Cashews sell for $1.20 per quarter-pound, and Brazil nuts sell for $1.50 per quarter-pound. How many pounds of cashews should be mixed with 20 pounds of Brazil nuts to obtain a mix that sells for $1.30 per quarter-pound?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = pounds of cashews needed
given:
+x+%2B+20+ = total pounds of mixture
+1.2%2F.25+=+4.8+ is cost/pound of cashews
+1.5%2F.25+=+6+ is cost/pound of Brazil nuts
+1.3%2F.25+=+5.2+ is cost/pound of mixture
--------------
+%28+4.8x+%2B+6%2A20+%29+%2F+%28+x+%2B+20+%29+=+5.2+
+4.8x+%2B+120+=+5.2%2A%28+x+%2B+20+%29+
+4.8x+%2B+120+=+5.2x+%2B+104+
+.4x+=+120+-+104+
+.4x+=+16+
+x+=+40+
40 pounds of cashews are needed
check answer:
+%28+4.8x+%2B+6%2A20+%29+%2F+%28+x+%2B+20+%29+=+5.2+
+%28+4.8%2A40+%2B+6%2A20+%29+%2F+%28+40+%2B+20+%29+=+5.2+
+192+%2B++120+=+5.2%2A60+
+312+=+312+
OK