document.write( "Question 1170748: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 35% and the third contains 65%. He wants to use all three solutions to obtain a mixture of 64 liters containing
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\n" ); document.write( "A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 35% and the third contains 65%. He wants to use all three solutions to obtain a mixture of 64 liters containing
\n" ); document.write( "45% acid, using 2 times as much of the 65% solution as the 35% solution. How many liters of each solution should be used?
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Let amount of 35% acid to be used be T
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document.write( "Then amount of 65% acid to be used is 2T, and amount of 15% acid to be used is, 64 - (T + 2T) = 64 - 3T
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document.write( "We then get: .35T + .65(2T) + .15(64 - 3T) = .45(64)
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document.write( ".35T + 1.3T + 9.6 - .45T = 28.8
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document.write( "1.2T = 19.2
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document.write( "Amount of 35% acid to be used, or \"highlight_green%28matrix%281%2C6%2C+T%2C+%22=%22%2C+19.2%2F1.2%2C+%22=%22%2C+16%2C+L%29%29\"
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document.write( "Amount of 65% acid to be used: \"highlight_green%28matrix%281%2C4%2C+2%2816%29%2C+%22=%22%2C+32%2C+L%29%29\"
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document.write( "Amount of 15% acid to be used:  \n" );
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