document.write( "Question 751374: How do i solve the following word problem?
\n" ); document.write( " Sally and her friends are making lemonade to sell at a carnival. Sally made a strong lemonade with 50% lemon juice. Her friend Janet made hers weaker with only 25% lemon juice. They decided to compromise and make some lemonade that is 35% lemon juice. How much of the 25% lemonade must be used to make 10L at this new percentage.
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Algebra.Com's Answer #457158 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = liters of 50% lemonade needed
\n" ); document.write( "Let \"+b+\" = liters of 25% lemonade needed
\n" ); document.write( "\"+.5a+\" = liters of lemon juice in 50% lemonade
\n" ); document.write( "\"+.25b+\" = liters of lemon juice in 25% lemonade
\n" ); document.write( "---------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+10+\"
\n" ); document.write( "(2) \"+%28+.5a+%2B+.25b+%29+%2F+10+=+.35+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) \"+.5a+%2B+.25b+=+3.5+\"
\n" ); document.write( "(2) \"+50a+%2B+25b+=+350+\"
\n" ); document.write( "(2) \"+2a+%2B+b+=+14+\"
\n" ); document.write( "------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+2a+%2B+b+=+14+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-10+\"
\n" ); document.write( "\"+a+=+4+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+10+\"
\n" ); document.write( "(1) \"+b+=+6+\"
\n" ); document.write( "--------------
\n" ); document.write( "6 liters of 25% lemonade is needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.5%2A4+%2B+.25%2A6+%29+%2F+10+=+.35+\"
\n" ); document.write( "(2) \"+%28+2+%2B+1.5+%29+%2F+10+=+.35+\"
\n" ); document.write( "(2) \"+3.5+=+.35%2A10+\"
\n" ); document.write( "(2) \"+3.5+=+3.5+\"
\n" ); document.write( "OK
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