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You can put this solution on YOUR website!
William says to Gracie, \"If you give me $5.50, we will have an equal amount of money.\"
\n" ); document.write( " Gracie responds, \"That may be true, but if you give me $5.50 instead, I will have twice as much money as you.\"
\n" ); document.write( " How much money did William and Gracie each have in the beginning?
\n" ); document.write( ":
\n" ); document.write( "Let w = W's original amt
\n" ); document.write( "Let g = G's original amt
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement, simplify as much as possible.
\n" ); document.write( ":
\n" ); document.write( "\"William says to Gracie, \"If you give me $5.50, we will have an equal amount of money.\"
\n" ); document.write( "w + 5.50 = g - 5.50
\n" ); document.write( "w = g - 5.50 - 5.50
\n" ); document.write( "w = g - 11
\n" ); document.write( ":
\n" ); document.write( "Gracie responds, \"That may be true, but if you give me $5.50 instead, I will have twice as much money as you\"
\n" ); document.write( "g + 5.50 = 2(w-5.50)
\n" ); document.write( "g + 5.50 = 2w - 11
\n" ); document.write( "g - 2w = -11 - 5.50
\n" ); document.write( "g - 2w = -16.50
\n" ); document.write( "replace w with (g-11)
\n" ); document.write( "g -2(g-11) = -16.50
\n" ); document.write( "g - 2g + 22 - 16.50
\n" ); document.write( "-g = 16.50 - 22
\n" ); document.write( "-g = -38.50
\n" ); document.write( "g = 38.50 is G's original amt
\n" ); document.write( "find w
\n" ); document.write( "w = 38.50 - 11
\n" ); document.write( "w = 27.50 is W's original amt
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You can confirm this for yourself, try these value in both statements \n" ); document.write( "