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?

Answer 1

$8

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 =
`(440)/(x+3)`

Now she can earn $320 per week at mall

No. of hours worked at mall =
`(320)/(x)`

Since we are given that the hours every week were the same at each

⇒
`(320)/(x)=(440)/(x+3)`

⇒
`320(x+3)=440x`

⇒
`320x+960=440x`

⇒
`960=440x-320x`

⇒
`960=120x`

⇒
`(960)/(120)=x`

⇒
`8=x`

Hence the hourly wage at mall is $8

Answer 2

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)

`now (320)/(x) = (440)/(x+3) cross multiply 440x=320(x+3) 440x=320x+960`
`440x-320x=960 120x=960 x= (960)/(120) =8`
so hourly wage at mall=$8