document.write( "Question 1135500: Your 10 gallons of 40% grape juice is too sweet. How many gallons of 10% grape juice should be added to make 30% grape juice? \n" ); document.write( "

Algebra.Com's Answer #753121 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "So far, you have received 3 responses showing similar yet different algebraic methods for solving the problem.

\n" ); document.write( "Here is an alternative which, if you understand how to use it, gets you to the answer to a mixture problem like this much faster and with far less effort.

\n" ); document.write( "You are starting with 40% grape juice and adding 10% grape juice; you want to stop when the mixture is 30% grape juice.

\n" ); document.write( "30% is 1/3 of the way from 40% to 10%; that means 1/3 of the mixture must be what you are adding.

\n" ); document.write( "So 1/3 of the mixture is the 10% grape juice you are adding; so 2/3 of the mixture is the 40% grape juice you started with. That means the 10% and 40% juices need to be mixed in the ratio 1:2.

\n" ); document.write( "Then since you used 10 gallons of the 40% juice, you need 5 gallons of the 10% juice. \n" ); document.write( "

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