document.write( "Question 1201492: How much water must be added to 5L of 8% weed killer mixture to make a 5% weed killer mixture? \n" ); document.write( "
Algebra.Com's Answer #835885 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "A description of the standard setup for solving the problem using formal algebra:

\n" ); document.write( "You are mixing 5 liters that is 8% weed killer to an unknown number of liters x that is 0% weed killer, resulting in (5+x) liters that is 5% weed killer:

\n" ); document.write( "\".08%285%29%2B0%28x%29=.05%285%2Bx%29\"
\n" ); document.write( "\".4=.25%2B.05x\"
\n" ); document.write( "\".15=.05x\"
\n" ); document.write( "\"x=.15%2F.05=15%2F5=3\"

\n" ); document.write( "ANSWER: 3 liters

\n" ); document.write( "If formal algebra is not required, here is a fast and easy informal way to solve the problem.

\n" ); document.write( "You are mixing 0% weed killer and 8% weed killer to get 5% weed killer.
\n" ); document.write( "5% is 5/8 of the way from 0% to 8%. (Picture the three percentages on a number line, if it helps.)
\n" ); document.write( "That means 5/8 of the mixture is the 8% weed killer.
\n" ); document.write( "So 5/8 of the mixture is the 5 liters of 8% weed killer that you started with; that means 3/8 of the mixture is the water you added.
\n" ); document.write( "Since 5/8 of the mixture is 5 liters, 3/8 of the mixture is 3 liters.

\n" ); document.write( "ANSWER: 3 liters

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