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Answer:

  • cabinets A produced is 10.
  • total cabinet produced is 80 cabinets.

explanation:

  • Let numbers of cabinets A produced be x.
  • then cabinet B will be [tex]\frac{1}{2} x+30[/tex]
  • then cabinet C will be [tex]\frac{3}{2} x+20[/tex]

If cabinet B and C was of same amount, they should be the same:

  • [tex]\frac{3}{2} x+20[/tex] =  [tex]\frac{1}{2} x+30[/tex]
  • [tex]\frac{3}{2} x-\frac{1}{2} x = 30-20[/tex]
  • [tex]\frac{3x-x}{2} =10[/tex]
  • [tex]2x =2(10)[/tex]
  • [tex]x =10[/tex]

So the cabinets A produced is 10 cabinets of type A.

total cabinets:

  • [tex]x+ \frac{1}{2} x+30+ \frac{3}{2} x+20 \\[/tex]
  • [tex]10+ \frac{1}{2} (10)+30+ \frac{3}{2} (10)+20[/tex]
  • [tex]80[/tex]

Answer:

hello there

Your answer is

cabinets A produced is 10.total cabinet produced is 80 cabinets.

Hope it’s helps you Buddy

Step-by-step explanation:

~Awesome Zayn

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