document.write( "Question 1202656: How much 9% saline solution should Kent mix with 70 cubic centimeters (cc) of a 17% saline solution to produce a 13% saline solution? \n" ); document.write( "
Algebra.Com's Answer #837632 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The formal algebraic solutions in the responses from the other tutors are fine. \n" ); document.write( "But as one of the tutors notes at the end of his response, the formal algebra is not needed. Common sense tells us that, since 13% is exactly halfway between 9% and 17%, the amount of 9% saline should be equal to the amount of 17% saline. \n" ); document.write( "That tutor implies that solving the problem by that method only works when the percentage of the mixture is halfway between the percentages of the two ingredients. \n" ); document.write( "But that is not the case. That informal method can be used to solve any 2-part mixture problem quickly and easily. In this problem, the percentage of the mixture is 1/2 of the way from the 9% to the 17%, so half of the mixture is the 17% saline. If in a similar problem the percentage of the mixture is 2/5 of the way from the lower percentage to the higher percentage, then 2/5 of the mixture would have to be the higher percentage ingredient. \n" ); document.write( "You should be able to search this website for many examples of problems like this for which I have provided responses showing solutions by this quick informal method. \n" ); document.write( " \n" ); document.write( " |