When comparing two jobs, Chris noticed that the hours every week were the same at each, but the job at the hospital paid $3.00 per hour more than the job at the
Mathematics
brmccarthy14
Question
When comparing two jobs, Chris noticed that the hours every week were the same at each, but the job at the hospital paid $3.00 per hour more than the job at the mall. She can earn $440 per week at the hospital and $320 per week at the mall. What is the hourly wage at the mall?
2 Answer

1. User Answers surjithayer
let the hourly wage at mall=$x
number of hours=320/x
then hourly wage at hospital=$x+3
number of hours=440/(x+3)
[tex]now \frac{320}{x} = \frac{440}{x+3} cross multiply 440x=320(x+3) 440x=320x+960 [/tex][tex]440x320x=960 120x=960 x= \frac{960}{120} =8[/tex]
so hourly wage at mall=$8 
2. User Answers wifilethbridge
Answer:
$8
Stepbystep explanation:
Let the hourly wage of mall be x
Since we are given that the job at the hospital paid $3.00 per hour more than the job at the mall.
So, hourly wage at hospital = x+3
Now She can earn $440 per week at the hospital
So, no. of hours she worked in hospital = [tex]\frac{440}{x+3}[/tex]
Now she can earn $320 per week at mall
No. of hours worked at mall = [tex]\frac{320}{x}[/tex]
Since we are given that the hours every week were the same at each
⇒ [tex]\frac{320}{x}=\frac{440}{x+3} [/tex]
⇒ [tex]320(x+3)=440x[/tex]
⇒ [tex]320x+960=440x[/tex]
⇒ [tex]960=440x320x[/tex]
⇒ [tex]960=120x[/tex]
⇒ [tex]\frac{960}{120}=x[/tex]
⇒ [tex]8=x[/tex]
Hence the hourly wage at mall is $8