anonymous
  • anonymous
Quick algebra question?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Hi I need help solving this problem – Andrew can paint the neighbor’s house 6 times as fast as bailey. The year Andrew and Bailey worked together, it took them 5 days. How long would it take each ti paint the house? Andrew__ days? Bailey ____ days? The way I set up problem:
anonymous
  • anonymous
\[\frac{ 5 }{ x }+\frac{ 5 }{ 6x }=1\]
anonymous
  • anonymous
Not really sure if thats the correct setup so please help if u can! TIA! :-)

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anonymous
  • anonymous
@Mikuxluka can you help?
jim_thompson5910
  • jim_thompson5910
You have the correct equation. The next step I would do is multiply both sides by the LCD 6x to clear out the fractions
anonymous
  • anonymous
x=5?
jim_thompson5910
  • jim_thompson5910
\[\Large \frac{ 5 }{ x }+\frac{ 5 }{ 6x }=1\] \[\Large {\color{red}{6x}}*\left(\frac{ 5 }{ x }+\frac{ 5 }{ 6x }\right)={\color{red}{6x}}*1\] \[\Large {\color{red}{6x}}*\frac{ 5 }{ x }+{\color{red}{6x}}*\frac{ 5 }{ 6x }={\color{red}{6x}}*1\] \[\Large {\color{red}{6\cancel{x}}}*\frac{ 5 }{ \cancel{x} }+{\color{red}{\cancel{6x}}}*\frac{ 5 }{ \cancel{6x} }={\color{red}{6x}}*1\] \[\Large 6*5 + 5=6x\] Let me know if this enough to get going
jim_thompson5910
  • jim_thompson5910
x = 5 is incorrect
anonymous
  • anonymous
wouldnt it be 6*5+5=6x 35=6x x=5?
jim_thompson5910
  • jim_thompson5910
35 = 6x does not lead to x = 5
jim_thompson5910
  • jim_thompson5910
you're probably thinking 30 = 6x
anonymous
  • anonymous
oops lol so x=35/6 . so that would be the first answer..how would I find Baileys time?
jim_thompson5910
  • jim_thompson5910
x = 35/6 is correct now compute 6x by replacing x with 35/6
anonymous
  • anonymous
I am sorry I dont understand that :(
jim_thompson5910
  • jim_thompson5910
|dw:1441070231979:dw|
jim_thompson5910
  • jim_thompson5910
multiply both sides by 6 to go from "x" on the left side to "6x" |dw:1441070258679:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1441070271344:dw|
jim_thompson5910
  • jim_thompson5910
so in a way, we already had the value of 6x when we were trying to isolate x earlier
anonymous
  • anonymous
Ok I see that. So 35/6 days would be Andrews answer. How would I find Baileys?
jim_thompson5910
  • jim_thompson5910
x = 35/6 6x = 35 Andrew takes 35/6 = 5.833 (roughly) days while Bailey takes 35 days (since 6x represents Bailey's time)
anonymous
  • anonymous
Oh wow now I see it. thanks so much for ur help have a great night!
jim_thompson5910
  • jim_thompson5910
you're welcome

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