document.write( "Question 1025656: The Royal Fruit Company produces two types of fruit drinks. The first type is 25% pure fruit juice, and the second type is 50% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 35% pure fruit juice? \n" ); document.write( "

Algebra.Com's Answer #640953 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
The Royal Fruit Company produces two types of fruit drinks. The first type is 25% pure fruit juice, and the second type is 50% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 35% pure fruit juice?
\n" ); document.write( "-------
\n" ); document.write( "Quantity:: t + f = 80 pints
\n" ); document.write( "Juice ::: 25t + 50f = 35*80
\n" ); document.write( "-----------
\n" ); document.write( "Modify::
\n" ); document.write( "5t + 5f = 5*80
\n" ); document.write( "5t + 10f = 7*80
\n" ); document.write( "----------------------
\n" ); document.write( "Subtract and solve for \"f\"::
\n" ); document.write( "5f = 2*80
\n" ); document.write( "f = 32 pints (amt. of 50% needed)
\n" ); document.write( "t = 80-32 = 48 pints (amt. of 25% needed)
\n" ); document.write( "-------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "---------------- \n" ); document.write( "

\n" );