SOLUTION: Trying to help son by learning myself. How many Liters of OJ worth $1.80 should be mixed with 2.4L of lemonade worth 1.15 to produce punch worth 1.54 Thank you

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Question 793786: Trying to help son by learning myself.
How many Liters of OJ worth $1.80 should be mixed with 2.4L of lemonade worth 1.15 to produce punch worth 1.54
Thank you

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of $1.80 / liter OJ needed
+1.8x+ = the cost of ++x+ liters of $1.80 / liter OJ
+2.4%2A1.15+=+2.76+ = the cost of 2.4 liters of $1.15 / liter OJ
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+%28+1.8x+%2B+2.76+%29+%2F+%28+x+%2B+2.4+%29+=+1.54+
This is just saying:
( cost / liter ) = ( cost / liter )
+1.8x+%2B+2.76+=+1.54%2A%28+x+%2B+2.4+%29+
+1.8x+%2B+2.76+=+1.54x+%2B+3.696+
+1.8x+-+1.54x+=+3.696+-+2.76+
+.26x+=+.936+
+x+=+3.6+
3.6 liters of $1.80 / liter OJ are needed
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check:
+%28+1.8x+%2B+2.76+%29+%2F+%28+x+%2B+2.4+%29+=+1.54+
+%28+1.8%2A3.6+%2B+2.76+%29+%2F+%28+3.6+%2B+2.4+%29+=+1.54+
+%28+6.48+%2B+2.76+%29+%2F+6+=+1.54+
+9.24+=+6%2A1.54+
+9.24+=+9.24+
OK