SOLUTION: How much of a spice that is 30% salt should be added to 175 ounces of a spice that is 65% salt in order to make a spice that is 50% salt?

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Question 1014128: How much of a spice that is 30% salt should be added to 175 ounces of a spice that is 65% salt in order to make a spice that is 50% salt?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of the 1st spice needed
+.3x+ = ounces of salt in 1st spice
+.65%2A175+ = ounces of salt in the 2nd spice
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+%28+.3x+%2B+.65%2A175+%29+%2F+%28+x+%2B+175+%29+=+.5+
+%28+.3x+%2B+113.75+%29+%2F+%28+x+%2B+175+%29+=+.5+
+.3x+%2B+113.75+=+.5%2A%28+x+%2B+175+%29+
+.3x+%2B+113.75+=+.5x+%2B+87.5+
+.2x+=+26.25+
+x+=+131.25+
131.25 ounces of the 1st spice are needed
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check answer:
+%28+.3x+%2B+.65%2A175+%29+%2F+%28+x+%2B+175+%29+=+.5+
+%28+.3%2A131.25+%2B+.65%2A175+%29+%2F+%28+131.25+%2B+175+%29+=+.5+
+%28+39.375+%2B+113.75+%29+%2F+306.25+=+.5+
+153.125+%2F+306.25+=+.5+
+153.125+=+.5%2A306.25+
+153.125+=+153.125+
OK