anonymous
  • anonymous
Medal to best answer. Max and Maggie have to clean the house. It takes Max 12 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation, and determine if the sister is correct or not.
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Vocaloid
  • Vocaloid
(1/12)x + (1/4)x = 1 solve for x
anonymous
  • anonymous
48? @vocaloid
Vocaloid
  • Vocaloid
nope not even close lol start by multiplying both sides by 12

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More answers

anonymous
  • anonymous
haha i thought it sounded a little off. okay so does the 1/12 cancel out?
anonymous
  • anonymous
@vocaloid
anonymous
  • anonymous
wait aren't i supposed to find a common denominator?
DariusX
  • DariusX
x + 3x = 12 4x = 12 x = 3
Vocaloid
  • Vocaloid
yeah, you could find a common denominator if you wanted it's just faster to multiply everything by 12 though the 1/12 cancels out what is (1/3)x * 12?
anonymous
  • anonymous
12/3 = 4
Vocaloid
  • Vocaloid
what is (1/4)x times 12?
Vocaloid
  • Vocaloid
( meant to say 1/4, not 1/3)
anonymous
  • anonymous
okay. it's 3 @vocaloid
Vocaloid
  • Vocaloid
don't forget the x
Vocaloid
  • Vocaloid
3x
Vocaloid
  • Vocaloid
so we have 3x + x = 12 what is x?
anonymous
  • anonymous
x + 3x = 12 4x = 12 x = 3
Vocaloid
  • Vocaloid
good, so x = 3 since x represents the number of hours, her sister is correct
anonymous
  • anonymous
Okay, so my answer sounds like this: Since x represents the number of hours, Max and Maggie's sister is correct. It will take both of them 3 hours to clean the house if they work together. First, make an equation. x + 3x = 12. Add the left portion together and you will get 4x = 12. Divide by four on both sides to isolate x and you will get x = 3. So, again it will take 3 hours for Maggie and Max to complete their work as their sister said.
Vocaloid
  • Vocaloid
not bad but I would start off with (1/12)x + (1/4)x = 1 as your equation

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