document.write( "Question 450971: How much of a 5% acid solution and a 20% acid solution must be mixed in order to obtain 3 gallons of a 10% acid solution?\r
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document.write( "Please show me the steps to get the answer. Thanks \n" );
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Algebra.Com's Answer #310121 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How much of a 5% acid solution and a 20% acid solution must be mixed in order to obtain 3 gallons of a 10% acid solution? \n" ); document.write( "--------------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Eq:: f + t = 3 gallons \n" ); document.write( "Acid Eq:::: 0.05f+0.20t == 0.10*3 \n" ); document.write( "----------------------------------- \n" ); document.write( "Multiply thru 1st equation by 5. \n" ); document.write( "Multiply thru 2nd equation by 100. \n" ); document.write( "------------------------------------ \n" ); document.write( "5f + 5t = 5*3 \n" ); document.write( "5f +20t = 10*3 \n" ); document.write( "------------------ \n" ); document.write( "Subtract and solve for \"t\": \n" ); document.write( "15t = 5*3 \n" ); document.write( "t = 1 gallon (amt. of 20% solution needed) \n" ); document.write( "--- \n" ); document.write( "Solve for \"f\": \n" ); document.write( "f + t = 3 \n" ); document.write( "f + 1 = 3 \n" ); document.write( "f = 2 gallons (amt. of 5% soltuion needed) \n" ); document.write( "============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |