SOLUTION: Salt Solution A chemist has 5gallons of salt solution with a concentration of 0.2pound per gallon and another solution with a concentration of 0.5 pound per gallon solution so that

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Salt Solution A chemist has 5gallons of salt solution with a concentration of 0.2pound per gallon and another solution with a concentration of 0.5 pound per gallon solution so that      Log On


   



Question 580575: Salt Solution A chemist has 5gallons of salt solution with a concentration of 0.2pound per gallon and another solution with a concentration of 0.5 pound per gallon solution so that he ends up with 5 gallons of a 0.3pound oer gallon?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of .5 pound/gallon solution needed
+.5x+ = pounds of salt in .5 pound/gallon solution
+.2%2A5+=+1+ = pounds of salt in .2 pound/gallon solution
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+%28+.5x+%2B+1+%29+%2F+5+=+.3+
+.5x+%2B+1+=+.3%2A5+
+.5x+%2B+1+=+1.5+
+.5x+=+.5+
+x+=+1+
1 gallon of .5 pound/gallon solution is needed
check answer:
+%28+.5%2A1+%2B+1+%29+%2F+5+=+.3+
+1.5%2F5+=+.3+
+1.5+=+1.5+
OK