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

Answer:

$8

Step-by-step 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 = $\frac{440}{x+3}$

Now she can earn $320 per week at mall

No. of hours worked at mall = $\frac{320}{x}$

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

⇒ $\frac{320}{x}=\frac{440}{x+3}$

⇒ $320(x+3)=440x$

⇒ $320x+960=440x$

⇒ $960=440x-320x$

⇒ $960=120x$

⇒ $\frac{960}{120}=x$

⇒ $8=x$

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 \frac{320}{x} = \frac{440}{x+3} cross multiply 440x=320(x+3) 440x=320x+960$$440x-320x=960 120x=960 x= \frac{960}{120} =8$
so hourly wage at mall=$8