SOLUTION: Oscar is perfecting his snow cone syrup to use at this year's county fair. He has 6 gallons of 40% syrup left over from last year. The goal is to make 53% syrup. How many gallons o

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Question 989283: Oscar is perfecting his snow cone syrup to use at this year's county fair. He has 6 gallons of 40% syrup left over from last year. The goal is to make 53% syrup. How many gallons of pure syrup should he add to the 6 gallons in order to make his goal? Enter only the numeric portion of your answer, to the nearest hundredth
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+.4%2A6+=+2.4+ gallons of pure syrup in
6 gallons of 40% syrup
Let +x+ = gallons of pure syrup to be added
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+%28+2.4+%2B+x+%29+%2F+%28+6+%2B+x+%29+=+.53+
+2.4+%2B+x+=+.53%2A%28+6+%2B+x+%29+
+2.4+%2B+x+=+3.18+%2B+.53x+
+.47x+=+3.18+-+2.4+
+.47x+=+.78+
+x+=+1.66+
1.66 gallons of pure syrup should be added
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check:
+%28+2.4+%2B+x+%29+%2F+%28+6+%2B+x+%29+=+.53+
+%28+2.4+%2B+1.66+%29+%2F+%28+6+%2B+1.66+%29+=+.53+
+4.06+%2F+7.66+=+.53+
+4.06+=+4.06+
OK