document.write( "Question 544137: Please help me help my kiddo. These word problems confuse me. Thanks!\r
\n" ); document.write( "\n" ); document.write( "To make a mixture that is 25% betadine, how many gallons of 100% pure betadine need to be mixed with 10 gallons of 15% betadine solution?
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Algebra.Com's Answer #355035 by ankor@dixie-net.com(22740)\"\" \"About 
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To make a mixture that is 25% betadine, how many gallons of 100% pure betadine need to be mixed with 10 gallons of 15% betadine solution?
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\n" ); document.write( "let x = amt 100% stuff required to accomplish this
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\n" ); document.write( "A typical mixture equation, use the decimal equiv of percent
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\n" ); document.write( "1.00x + .15(10) = .25(x+10)
\n" ); document.write( "1x + 1.5 = .25x + 2.5
\n" ); document.write( "1x - .25x = 2.5 - 1.5
\n" ); document.write( ".75x = 1
\n" ); document.write( "x = \"1%2F.75\"
\n" ); document.write( "x = 1\"1%2F3\" gal of 100% stuff required
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\n" ); document.write( "Check our solution in the original mixture equation
\n" ); document.write( "1.333 + 1.5 = .25(1.333+10)
\n" ); document.write( "1.8333 = .25(11.333)
\n" ); document.write( "1.8333 = 1.833, equality reigns, so it checks out
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