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
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document.write( "The system of equations shown can be used to represent this situation.\r
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document.write( "x + y = 10
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document.write( "0.10x + 0.30y = 2.5\r
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document.write( "What is the number of liters of solution B the chemist mixes with solution A to create solution C containing 25% acid? \n" );
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Algebra.Com's Answer #589334 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |