document.write( "Question 146154This question is from textbook New Mexico Edition College Algebra
\n" ); document.write( ": The cooling system of a certain foreigh-made car has a capacity of 15 liters. If the system is filled with a mixture that is 40% antifreeze, how much of this mixture should be drained and replaced by pure antifreeze so that the system is filled with a solution that is 60% antifreeze? \n" ); document.write( "
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The cooling system of a certain foreigh-made car has a capacity of 15 liters. If the system is filled with a mixture that is 40% antifreeze, how much of this mixture should be drained and replaced by pure antifreeze so that the system is filled with a solution that is 60% antifreeze?Let x = amt in liters drained and replaced by 100% antifreeze
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\n" ); document.write( "Let x = amt drained (in liters) and replaced with 100% anti-freeze
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\n" ); document.write( "then:
\n" ); document.write( "amt of 40% antifreeze = 15 - x
\n" ); document.write( "amt of 100% antifreeze = x
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\n" ); document.write( "\"60% antifreeze in tank\" = \"amt from 40% mix\" + \"amt from 100% mix\"
\n" ); document.write( ".6(15) = \"amt antifreeze from 40% mix\" + \"amt antifreeze from 100% mix\"
\n" ); document.write( ".6(15) = .40(15 - x) + x
\n" ); document.write( "9 = 6 - .40x + x
\n" ); document.write( "9 = 6 + .60x
\n" ); document.write( "3 = .60x
\n" ); document.write( "5 liters = x
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