document.write( "Question 1022755: If a company hired 50 employees and reduced all pay by $2 a day, their payroll increases by $260. If they lose 50 employees and add $4 a day to each employee, their payroll decreases by $340. How many employees do they have? \n" ); document.write( "
Algebra.Com's Answer #638379 by josmiceli(19441)\"\" \"About 
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Let \"+n+\" = number of employees they have
\n" ); document.write( "Let \"+p+\" = the original pay for each employee
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) \"+%28+n+%2B+50+%29%2A%28+p+-+2+%29+=+n%2Ap+%2B+260+\"
\n" ); document.write( "(2) \"+%28+n+-+50+%29%2A%28+p+%2B+4+%29+=+n%2Ap+-+340+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) \"+n%2Ap+%2B+50p+-+2n+-+100+=+n%2Ap+%2B+260+\"
\n" ); document.write( "(1) \"+50p+-+2n+=+360+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+n%2Ap+-+50p+%2B+4n+-+200+=+n%2Ap+-+340+\"
\n" ); document.write( "(2) \"+50p+-+4n+=+140+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) \"+50p+-+2n+=+360+\"
\n" ); document.write( "(2) \"+-50p+%2B+4n+=+-140+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "\"+2n+=+220+\"
\n" ); document.write( "\"+n+=+110+\"
\n" ); document.write( "They have 110 employees
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+50p+-+4n+=+140+\"
\n" ); document.write( "(2) \"+50p+-+4%2A110+=+140+\"
\n" ); document.write( "(2) \"+50p+=+580+\"
\n" ); document.write( "(2) \"+p+=+11.6+\"
\n" ); document.write( "The original pay rate was $11.60/hr
\n" ); document.write( "(1) \"+%28+n+%2B+50+%29%2A%28+p+-+2+%29+=+n%2Ap+%2B+260+\"
\n" ); document.write( "(1) \"+%28+110+%2B+50+%29%2A%28+11.6+-+2+%29+=+110%2A11.6+%2B+260+\"
\n" ); document.write( "(1) \"+160%2A9.6+=+1276+%2B+260+\"
\n" ); document.write( "(1) \"+1536+=+1536+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );