Question

Quick algebra question?

Answer 1

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:

Answer 2

\[\frac{ 5 }{ x }+\frac{ 5 }{ 6x }=1\]

Answer 3

Not really sure if thats the correct setup so please help if u can! TIA! :-)

Answer 4

@Mikuxluka can you help?

Answer 5

You have the correct equation. The next step I would do is multiply both sides by the LCD 6x to clear out the fractions

Answer 6

x=5?

Answer 7

\[\Large \frac{ 5 }{ x }+\frac{ 5 }{ 6x }=1\]
\[\Large {\color{red}{6x}}*\left(\frac{ 5 }{ x }+\frac{ 5 }{ 6x }\right)={\color{red}{6x}}*1\]
\[\Large {\color{red}{6x}}*\frac{ 5 }{ x }+{\color{red}{6x}}*\frac{ 5 }{ 6x }={\color{red}{6x}}*1\]
\[\Large {\color{red}{6\cancel{x}}}*\frac{ 5 }{ \cancel{x} }+{\color{red}{\cancel{6x}}}*\frac{ 5 }{ \cancel{6x} }={\color{red}{6x}}*1\]
\[\Large 6*5 + 5=6x\]

Let me know if this enough to get going

Answer 8

x = 5 is incorrect

Answer 9

wouldnt it be 6*5+5=6x
35=6x
x=5?

Answer 10

35 = 6x does not lead to x = 5

Answer 11

you're probably thinking 30 = 6x

Answer 12

oops lol so x=35/6 . so that would be the first answer..how would I find Baileys time?

Answer 13

x = 35/6 is correct

now compute 6x by replacing x with 35/6

Answer 14

I am sorry I dont understand that :(

Answer 15

multiply both sides by 6 to go from "x" on the left side to "6x"