Math Question: Challenge. The Question is Big, please look for it in the description/detail?

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A company figured that if it had 50 more employees and paid each one $2 per day less, the payroll would increase by $620 per day. If it had 50 less employees and paid $4 per day more , the payrool would decrease $640 per day. How many employees does the company now have

Saul Waters · Accepted Answer

P = np P + 620 = np + 620 = (n+50)(p-2) = np -2n + 50p – 100P – 640 = np – 640 = (n-50)(p+4) = np + 4n – 50p – 200620 = 50p – 2n – 100640 = 50p – 4n + 20020 = -2n + 3002n = 280n = 140The company currently has 140 employees and pays them an average of 20 per day.…

Saul Waters · Answer

A company figured that if it had 50 more employees and paid each one $2 per day less, the payroll would increase by $620 per day. (e+50)*$2=$p+$620If it had 50 less employees and paid $4 per day more , the payroll would decrease $640 per day.(e-50)*$4=$p-$640you might need to solve for three variablesemployees=erate of pay=rpayroll=p(e+50)*(r-$2)=($p+$620)see what I mean?and (e-50)*(r+$4)=($p-$640)beyond that……matrices hate me

Saul Waters · Answer

Let x = original number of employed @ $y per dayOriginal payroll = xy(x+50)(y-2) = xy +620 xy -2x +50y -100 = xy +620-2x +50 y = 720 (1)(x-50)(y+4) = xy -640 xy +4x -50y -200 = xy -640 4x -50y = -440 (2)(1) +(2) gives 2x = 280 x = 140The company has 140 employees now.

Saul Waters · Answer

Let Y represent the number of employees now.Let $X represent each employees’ daily wage now. {{{ they are getting slave labour }}}Therefore the daily payroll now is $(XY). {{{ multiply them }}}The information can be put into two equations:First >>>XY + 620 = ( X – 2 )( Y + 50 ) XY + 620 = XY + 50X -2Y – 100620 = 50X – 2Y -100720 = 50X – 2Y360 = 25X – YY = 25X – 360Second>>>XY – 640 = ( X + 4 )( Y – 50 ) XY – 640 = XY – 50X + 4Y – 200-640 = -50X + 4Y -200-440 = -50X + 4Y4Y – 50X = -4404Y = 50X – 440Y = 12.5X – 110Combine the First and the Second25X – 360 = 12.5X – 11012.5X = 250X = 20Now use the simplifed First equation (or the Second)Y = 25X – 360Y = 25(20) – 360Y = 500 – 360Y = 140The company has 140 employees now. {{{ they pay them $20 each per day }}}

Saul Waters · Answer

x = current employeesy = salary of current employee(per day)(x + 50)(y – 2) = xy + 620(x – 50)(y + 4) = xy – 640-2x + 50y = 7204x – 50y = -440Adding both eqns:2x = 280x = 140 current employees

Ms. Mara Collier

Math Question: Challenge. The Question is Big, please look for it in the description/detail?

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