document.write( "Question 1046486: How many gallons of a 10% acid solution must be mixed with 5 gal of a 30% acid solution to make a 14% acid solution? \n" ); document.write( "

Algebra.Com's Answer #661965 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "How many gallons of a 10% acid solution must be mixed with 5 gal of a 30% acid solution to make a 14% acid solution?
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document.write( "Let \"x\" be a required amount of the 10% acid solution, in gallons.\r\n" );
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document.write( "Then the 10% solution contains 0.1*x gallons of the pure acid.\r\n" );
document.write( "     The 5 gallons of 30% acid solution contains 0.3*5 gallons of the pure acid.\r\n" );
document.write( "After mixing, the new solution contains 0.1x + 0.3*5 of the pure acid, while the total volume of the solution is (5+x) gallons.\r\n" );
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document.write( "The equation for concentration of the new solution is\r\n" );
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document.write( " = 0.14.\r\n" );
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document.write( "To solve it, multiply both sides by (5+x). You will get\r\n" );
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document.write( "0.1x + 1.5 = 0.14*(5+x),  or\r\n" );
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document.write( "0.1x + 1.5 = 0.7 + 0.14x,  or\r\n" );
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document.write( "1.5 - 0.7 = 0.14x - 0.1x,  or\r\n" );
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document.write( "0.8 = 0.04x.\r\n" );
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document.write( "Hence,  x =  = 20 gallons.\r\n" );
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document.write( "Answer.  20 gallons of the 10% acid solution must be added.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is a bunch of lessons in this site covering various types of mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like candies, dried fruits\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like soil and sand\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution of mixture problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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