document.write( "Question 964032: The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 75% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 30 pints of a mixture that is 75% pure fruit juice? \n" ); document.write( "
Algebra.Com's Answer #589071 by ankor@dixie-net.com(22740)\"\" \"About 
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The Royal Fruit Company produces two types of fruit drinks.
\n" ); document.write( " The first type is 60% pure fruit juice,
\n" ); document.write( " and the second type is 85% pure fruit juice.
\n" ); document.write( " The company is attempting to produce a fruit drink that contains 75% pure fruit juice.
\n" ); document.write( " How many pints of each of the two existing types of drink must be used to make 30 pints of a mixture that is 75% pure fruit juice?
\n" ); document.write( ":
\n" ); document.write( "let x = amt of 85% juice
\n" ); document.write( "the resulting amt is to be 30 pints, therefore
\n" ); document.write( "(30-x) = amt of 60% juice
\n" ); document.write( ":
\n" ); document.write( "The decimal equiv equation
\n" ); document.write( ".85x + .60(30 - x) = .75(30)
\n" ); document.write( ".85x + 18 - .60x = 22.5
\n" ); document.write( ".85x - .60x = 22.5 - 18
\n" ); document.write( ".25x = 4.5
\n" ); document.write( "x = 4.5/.25
\n" ); document.write( "x = 18 pints of 85% juice
\n" ); document.write( "and
\n" ); document.write( "30 - 18 = 12 Pints of 60% juice
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this
\n" ); document.write( ".85(18) + .60(12) = .75(30)
\n" ); document.write( "15.3 + 7.2 = 22.5 \n" ); document.write( "
\n" );