document.write( "Question 1081639: Eight gallons of salt consists of 35% salt. It is the result of mixing a 50% solution with a 30% solution. How many gallons of each of the solutions was used? The corresponding modeling system is
\n" ); document.write( "X+y=8
\n" ); document.write( ".5x+.3y=.35(8) \n" ); document.write( "
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Eight gallons of salt consists of 35% salt.
\n" ); document.write( " It is the result of mixing a 50% solution with a 30% solution.
\n" ); document.write( " How many gallons of each of the solutions was used?
\n" ); document.write( " The corresponding modeling system is
\n" ); document.write( " X + y = 8
\n" ); document.write( ".5x+.3y=.35(8)
\n" ); document.write( ":
\n" ); document.write( " X + y = 8
\n" ); document.write( ".5x+.3y= 2.8
\n" ); document.write( "multiply by 2, subtract from the 1st equation
\n" ); document.write( "x + y = 8
\n" ); document.write( "x +.6y = 5.6
\n" ); document.write( "---------------Subtraction eliminates x find y
\n" ); document.write( "0 + .4y = 2.4
\n" ); document.write( "y = 2.4/.4
\n" ); document.write( "y = 6 gallons of 30% solution
\n" ); document.write( "then
\n" ); document.write( "x = 2 gallons of 50% solution \n" ); document.write( "
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