document.write( "Question 964428: A chemist has two acid solutions. Solution A contains 10% acid, and Solution B contains 30% acid. He will mix the two solutions to make 10 liters of a third solution, Solution C, containing 25% acid.\r
\n" ); document.write( "\n" ); document.write( "The system of equations shown can be used to represent this situation.\r
\n" ); document.write( "\n" ); document.write( "x + y = 10
\n" ); document.write( "0.10x + 0.30y = 2.5\r
\n" ); document.write( "\n" ); document.write( "What is the number of liters of solution B the chemist mixes with solution A to create solution C containing 25% acid?
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Algebra.Com's Answer #589334 by macston(5194)\"\" \"About 
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\n" ); document.write( "A=liters of Solution A; B=liters of Solution B
\n" ); document.write( "A+B=10
\n" ); document.write( "A=10-B Use this to substitute for A
\n" ); document.write( "0.10A+0.30B =0.25(10) Substitute for A from above.
\n" ); document.write( "0.10(10-B)+0.30B=2.5
\n" ); document.write( "1-0.10B+0.30B=2.5 Subtract 1 from each side.
\n" ); document.write( "0.20B=1.5 Multiply each side by 5.
\n" ); document.write( "B=7.5 ANSWER 1:The chemist should use 7.5 liters of solution B.
\n" ); document.write( "A=10-B=10-7.5=2.5 ANSWER 2: The chemist should use 2.5 liters of Solution A.
\n" ); document.write( "CHECK:
\n" ); document.write( "0.10(A)+0.30(B)=0.25(10)
\n" ); document.write( "0.10(2.5)+0.30(7.5)=2.5
\n" ); document.write( "0.25+2.25=2.5
\n" ); document.write( "2.5=2.5\r
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