After loading a dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day of the crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by two crews did the day crew load?
A. 1 by 2
B. 2 by 5
c. 4 by 5
d. 5 by 8

• d. 5 by 8
  
  if there are x workers in day and each loaded y boxes
  then boxes loaded in day =xy
  boxes loaded in night = 3/4 *y*4/5 *x = 3/5 *xy
  
  total boxes loaded = xy+3/5 *xy = 8/5 xy
  fraction of all the boxes loaded by two crews did the day crew load = xy/(8/5 *xy) =5/8 .. option d
  
  
• 12 years agoHelpfull: Yes(34) No(2)
• d. 5/8
  
  Night crew = 4 workers, day crew = 5 workers
  Each night worker loads 3 boxes, each day worker loads 4 boxes
  
  So:
  The day crew loads 5 x 4 = 20 boxes
  The night crew loads 4 x 3 = 12 boxes
  Total they both could do = 32 boxes
  
  The day crew loaded 20/32 = 5/8 of all the boxes.
• 12 years agoHelpfull: Yes(30) No(4)
• Ratio of boxes loaded in night to boxes loaded in day = 3/4 *4/5=3/5
  
  so ratio of boxes loaded in day to total boxes loaded by two crews = 5/(3+5) = 5/8
• 12 years agoHelpfull: Yes(14) No(5)
• Ratio of boxes loaded in night to boxes loaded in day = 3/4 *4/5=3/5
  
  so 3x boxes are loaded by night crew and 5x boxes are loaded by day crew.
  total boxes loaded = 3x+5x=8x
  
  so ratio of boxes loaded in day to total boxes loaded by two crews = 5x/8x=5/8
• 12 years agoHelpfull: Yes(8) No(1)
• let X be box loaded during day
  then box loaded durin nit = 3/4X
  ALSO let y be no of workers durin day
  then no of workers durin nit = 4/5 y
  therfore,no of box loaeded during day =xy
  no of box loaded durin nit = 3/4X*4/5Y = 3/5 XY
  ACC to ques: the req ratio = xy/(xy + 3/5 xy)
  =xy/(8/5)xy
  =5/8
• 12 years agoHelpfull: Yes(6) No(0)
• ratio of night to day = 3/4 : 4/5 = 3/5
  so ratio in loded box in day crew = day/total
  total box= night + day = 3+5 = 8
  so it bocome 5/8 ans..
• 12 years agoHelpfull: Yes(2) No(2)
• day shift night shift
  boxes 4 3
  crew size 5 4
  ----------------------------------------------------------------------
  20 12
  
  so boxes loaded in day shift 4*5=20
  boxes loaded in night shift 3*4 =12
  
  fraction of loaded 20/(20+12) = 5/8 ans
  
• 9 years agoHelpfull: Yes(2) No(0)
• Assume the number of boxes loaded in dayshift is equal to 4, then the number of boxed loaded in night shift = 3
  Assume the worked on dayshift = 5, then workers on night shift = 4
  
  So boxes loaded in day shift = 4 x 5 = 20, and boxes loaded in night shift = 3 x 4 = 12
  so fraction of boxes loaded in day shift = 2020+12=58
• 8 years agoHelpfull: Yes(0) No(0)
• Assume the number of boxes loaded in dayshift is equal to 4, then the number of boxed loaded in night shift = 3
  Assume the worked on dayshift = 5, then workers on night shift = 4.
  So boxes loaded in day shift = 4 x 5 = 20, and boxes loaded in night shift = 3 x 4 = 12
  So fraction of boxes loaded in day shift = 20/(20+12)=5/8
• 6 years agoHelpfull: Yes(0) No(0)