SOLUTION: how many gram of raisin worth php 20 per gram must be mixed with 12 grams of peanuts worth php 18 per gram produce a mixture worth php 19.25 per gram?

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Question 991554: how many gram of raisin worth php 20 per gram must be mixed with 12 grams of peanuts worth php 18 per gram produce a mixture worth php 19.25 per gram?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = grams of raisins needed
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+%28+20x+%2B+12%2A18+%29+%2F+%28+x+%2B+12+%29+=+19.25+
+20x+%2B+216+=+19.25%2A%28+x+%2B+12+%29+
+20x+%2B+216+=+19.25x+%2B+231+
+.75x+=+15+
+x+=+15%2F.75+
+x+=+20+
20 grams of raisins are needed
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check:
+%28+20%2A20+%2B+12%2A18+%29+%2F+%28+20+%2B+12+%29+=+19.25+
+%28+400+%2B+216+%29+%2F+32+=+19.25+
+616%2F32+=+19.25+
+616+=+616+
OK