document.write( "Question 1106577: Evan wants to combine two fruit drinks to get 50 liters of a drink that will be 8% sugar. Drink A is 4% sugar and drink B is 9% sugar. How much of each drink should he use?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #721592 by greenestamps(13215) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The desired 8% is 4 times as close to 9% as it is to 4%. (9-8=1; 8-4=4.)

\n" ); document.write( "That means the mixture must have 4 times as much of the 9% ingredient as the 4% ingredient.

\n" ); document.write( "A 4:1 ratio with a total volume of 50 liters means 40 liters of drink B and 10 liters of drink A.

\n" ); document.write( "Here is how this answer is obtained formally, using the process of alligation. (Not a familiar word; spell checker doesn't even recognize it. Look around on the internet to learn more about the method.)

\n" ); document.write( " $\"matrix%283%2C3%2C4%2C%22%22%2C1%2C%22%22%2C8%2C%22%22%2C9%2C%22%22%2C4%29\"$

\n" ); document.write( "The numbers in the first column are the percentages of the two ingredients, 4% and 9%; the number in the middle column is the percentage of the mixture, 8%.

\n" ); document.write( "The numbers in the third column are the differences, calculated diagonally, between the numbers in the first two columns: 9-8=1 and 8-4=4.

\n" ); document.write( "When the calculations are done this way, the numbers in the third column show the ratio in which the two ingredients must be mixed: 4 parts of the 9% ingredient to 1 part of the 4% ingredient. \n" ); document.write( "

\n" );