document.write( "Question 1205699: A 42ml solution contains lemon juice and water in the ratio of 4: 3, respectively. It is added to another solution with same mixture in the ratio of 2:3, respectively. After that, 23 ml solution is taken out and 9ml of lemon juice is added to it, which makes the final quantity of water as 85.71% of lemon juice and they differ by 6ml. Find the total quantity of second solution? \n" ); document.write( "
Algebra.Com's Answer #842731 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Certainly the wording of the problem is poor.... \n" ); document.write( "My interpretation is that in the final mixture the amount of water is 85.71% of the amount of lemon juice, and the amount of water is 6ml less than the amount of lemon juice. \n" ); document.write( "In that case, most of the information in the problem is not relevant. \n" ); document.write( "Almost certainly the 85.71% is a decimal approximation of the fraction 6/7. That means the final solution is 6 parts water and 7 parts lemon juice. \n" ); document.write( "6x = amount of water \n" ); document.write( "7x = amount of lemon juice \n" ); document.write( "Those amounts differ by 6ml: \n" ); document.write( "7x-6x = 6 \n" ); document.write( "x = 6 \n" ); document.write( "The total amount in the second solution is 6x+7x = 13x = 13*6 = 78ml \n" ); document.write( "ANSWER: 78 ml \n" ); document.write( " \n" ); document.write( " |