SOLUTION: How many liters of orange juice worth $1.80 per liter should be mixed with 2.4L of lemonade worth $1.15 per liter to produce a punch worth $1.54 per liter? THANKS!!!

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Question 690849: How many liters of orange juice worth $1.80 per liter should be mixed with 2.4L of
lemonade worth $1.15 per liter to produce a punch worth $1.54 per liter? THANKS!!!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of $1.80/ liter orange juice needed
+2.4+%2B+x+ = liters of punch after mixing
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+%28+1.8x+%2B+1.15%2A2.4+%29+%2F+%28+2.4+%2B+x+%29+=+1.54+
+%28+1.8x+%2B+2.76+%29+%2F+%28+2.4+%2B+x+%29+=+1.54+
+1.8x+%2B+2.76+=+1.54%2A%28+2.4+%2B+x+%29+
+1.8x+%2B+2.76+=+3.696+%2B+1.54x+
+1.8x+-+1.54x+=+3.696+-+2.76+
+.26x+=+.936+
+x+=+3.6+
3.6 liters of $1.80/ liter orange juice are needed
check answer:
+%28+1.8x+%2B+1.15%2A2.4+%29+%2F+%28+2.4+%2B+x+%29+=+1.54+
+%28+1.8%2A3.6+%2B+1.15%2A2.4+%29+%2F+%28+2.4+%2B+3.6+%29+=+1.54+
+%28+6.48+%2B+2.76+%29+%2F+6+=+1.54+
+9.24+%2F+6+=+1.54+
+9.24+=+1.54%2A6+
+9.24+=+9.24+
OK