document.write( "Question 1164335: A chemist wishes to mix a solution that is 10% acid. She has on hand liters of a 6% acid solution and wishes to add some 14% acid solution to obtain the desired 10% acid solution. she has on hand 6 liters of a 6% acid solution and wishes to add some 14% acid solution to obtain desired 10% acid solution. How much 14% acid solution should she add? \n" ); document.write( "
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\n" ); document.write( "S/B: A chemist wishes to mix a solution that is 10% acid. She has on hand 6 liters of a 6% acid solution and wishes to add some 14% acid solution to obtain desired 10% acid solution. How much 14% acid solution should she add?
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The 6% solution will increase to 10%, an increase of 4%.
\n" ); document.write( "The 14% will be reduced to 10%, a reduction of 4%.
\n" ); document.write( "Therefore, the same amount of 6% and 14% solutions need to be mixed.
\n" ); document.write( "So, 6 liters of each is needed.
\n" ); document.write( "OR
\n" ); document.write( "Let amount of 14% solution to mix, be F
\n" ); document.write( "Then we get: .06(6) + .14F = .1(6 + F)
\n" ); document.write( ".36 + .14F = .6 + .1F
\n" ); document.write( ".14F - .1F = .6 - .36
\n" ); document.write( ".04F = .24
\n" ); document.write( "Amount of 14% solution to mix, or \"highlight_green%28matrix%281%2C6%2C+F%2C+%22=%22%2C+.24%2F.04%2C+%22=%22%2C+6%2C+L%29%29\" \n" ); document.write( "
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