document.write( "Question 1010739: One day 4 plumbers and 5 helpers earned $350. At the same rate of pay, another group of 5 plumbers and 6 helpers earned $430. How much does a plumber and how much does a helper earn each day? I can not understand these for the life of me. \n" ); document.write( "
Algebra.Com's Answer #626205 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
This is really the same as: You have 5 oranges and 4 apples
\n" ); document.write( "that cost $4 etc. They are just using plumbers and helpers
\n" ); document.write( "Let \"+x+\" = daily pay for a plumber
\n" ); document.write( "Let \"+y+\" = daily pay for plumber's helper
\n" ); document.write( "------------------------------------
\n" ); document.write( "(1) \"+4x+%2B+5y+=+350+\"
\n" ); document.write( "(2) \"+5x+%2B+6y+=+430+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by \"+5+\"
\n" ); document.write( "Multiply both sides of (2) by \"+4+\"
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) \"+20x+%2B+25y+=+1750+\"
\n" ); document.write( "(2) \"+-20x+-+24y+=+-1720+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+y+=+30+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+4x+%2B+5%2A30+=+350+\"
\n" ); document.write( "(1) \"+4x+%2B+150+=+350+\"
\n" ); document.write( "(1) \"+4x+=+200+\"
\n" ); document.write( "(1) \"+x+=+50+\"
\n" ); document.write( "The daily pay for a plumber is $50
\n" ); document.write( "The daily pay for plumber's helper is $30
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+5x+%2B+6y+=+430+\"
\n" ); document.write( "(2) \"+5%2A50+%2B+6%2A30+=+430+\"
\n" ); document.write( "(2) \"+250+%2B+180+=+430+\"
\n" ); document.write( "(2) \"+430+=+430+\"
\n" ); document.write( "OK
\n" ); document.write( "You can check equation (1)
\n" ); document.write( "
\n" );