document.write( "Question 131154This question is from textbook elementry algebra
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\n" ); document.write( "\n" ); document.write( "Hawaiiain punch is 10% fruit juice. How much water would you have to add to one gallon of hawaiiain punch to get a drink that is 6% fruit juice?\r
\n" ); document.write( "\n" ); document.write( "my homework is 1 thru 41 odd, been able to solve all but #39. on the above I cannot figure out how to set it up. Thank you in advance for any help
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Algebra.Com's Answer #95774 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
Hawaiiain punch is 10% fruit juice. How much water would you have to add to one gallon of hawaiiain punch to get a drink that is 6% fruit juice?
\n" ); document.write( "my homework is 1 thru 41 odd, been able to solve all but #39. on the above I cannot figure out how to set it up. Thank you in advance for any help
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document.write( "First I'll give you the answer and check it. Then I'll tell\r\n" );
document.write( "you how I got it.  The reason I do it this way is to show\r\n" );
document.write( "you that it takes the exact same thinking to check a word\r\n" );
document.write( "problem, starting with the answer, as it does to set up the\r\n" );
document.write( "equation, starting with x.  You'll see.\r\n" );
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document.write( "The answer: You would have to add \"2%2F3\" of a gallon of water.\r\n" );
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document.write( "Checking using the answer \"2%2F3\" gallon of water.\r\n" );
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document.write( "We have 1 gallon of Hawaiian punch to begin with.\r\n" );
document.write( "10% of 1 gallon is \"1%2F10\" gallon of fruit juice.\r\n" );
document.write( "Suppose we add \"2%2F3\" gallon of water.  We will then\r\n" );
document.write( "have \"1%2B2%2F3\" or \"5%2F3\" gallons of liquid of\r\n" );
document.write( "which \"1%2F10\" gallon is fruit juice, so\r\n" );
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document.write( "\"%28amt_of_fruit_juice%29%2F%28amt_of_liquid%29\" equals \".06\"\r\n" );
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document.write( "because \"%281%2F10%29%2F%285%2F3%29\" = \"%281%2F10%29%283%2F5%29\" = \"3%2F50\" = \".06\"\r\n" );
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document.write( "Now if you understand that, we will now \"check it\" using \"x\" gallon:\r\n" );
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document.write( "\"Checking\" using \"x\" gallon of water.\r\n" );
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document.write( "We have 1 gallon of Hawaiian punch to begin with.\r\n" );
document.write( "10% of 1 gallon is \"1%2F10\" gallon of fruit juice.\r\n" );
document.write( "Suppose we add \"x\" gallon of water.  We will then\r\n" );
document.write( "have \"1%2Bx\" gallons of liquid of\r\n" );
document.write( "which \"1%2F10\" gallon is fruit juice, so\r\n" );
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document.write( "\"%28amt_of_fruit_juice%29%2F%28amt_of_liquid%29\" equals \".06\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"%281%2F10%29%2F%281%2Bx%29\" = \".06\"\r\n" );
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document.write( "Multiply both sides by \"%281%2Bx%29\"\r\n" );
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document.write( "\"1%2F10\" = \".06%281%2Bx%29\"\r\n" );
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document.write( "Multiply both sides by 10\r\n" );
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document.write( "\"1\" = \".6%281%2Bx%29\"\r\n" );
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document.write( "Multiply both sides by 10\r\n" );
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document.write( "\"10\" = \"6%281%2Bx%29\"\r\n" );
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document.write( "\"10\" = \"6%2B6x\"\r\n" );
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document.write( "Subtract 6 from both sides:\r\n" );
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document.write( "\"4\" = \"6x\"\r\n" );
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document.write( "Divide both sides by 6\r\n" );
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document.write( "\"4%2F6\" = \"%286x%29%2F6\"\r\n" );
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document.write( "Simplifying:\r\n" );
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document.write( "\"2%2F3\" = \"x\"\r\n" );
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document.write( "Edwin
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