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Eric has twice as much money as Marcia, who has $175 less than Laurel. But Laurel has as much money as Eric and Marcia have together. How much money does each person have?
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"Eric has twice as much money as Marcia,\"
\n" ); document.write( " E = 2M
\n" ); document.write( ":
\n" ); document.write( " \"who has $175 less than Laurel.\"
\n" ); document.write( " M = L-175
\n" ); document.write( "Or we could write it:
\n" ); document.write( " L = M + 175
\n" ); document.write( ":
\n" ); document.write( "\"Laurel has as much money as Eric and Marcia have together.\"
\n" ); document.write( " L = E + M
\n" ); document.write( ":
\n" ); document.write( "How much money does each person have?
\n" ); document.write( ":
\n" ); document.write( "In the last equation substitute 2M for E, (from the 1st equation)
\n" ); document.write( " L = 2M + M
\n" ); document.write( " L = 3M
\n" ); document.write( ":
\n" ); document.write( "We have: L = M + 175 from the 2nd equation:
\n" ); document.write( "Substitute 3M for L
\n" ); document.write( "3M = M + 175
\n" ); document.write( "3M - M + 175
\n" ); document.write( "2M = 175
\n" ); document.write( "M = 175/2
\n" ); document.write( "M = 87.50
\n" ); document.write( "Then:
\n" ); document.write( "E = 2M
\n" ); document.write( "E = 2(87.50)
\n" ); document.write( "E = $175
\n" ); document.write( "And
\n" ); document.write( "L = 3M
\n" ); document.write( "L = 3(87.50)
\n" ); document.write( "L = 262.50
\n" ); document.write( ":
\n" ); document.write( "Check it by the statement:
\n" ); document.write( "\"Laurel has as much money as Eric and Marcia have together.\"
\n" ); document.write( "L = E + M
\n" ); document.write( "L = 175 + 87.50
\n" ); document.write( "L = 262.50
\n" ); document.write( ":
\n" ); document.write( "Did this help? \n" ); document.write( "