Mathematics

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

  • 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]440x-320x=960 120x=960 x= \frac{960}{120} =8[/tex]
    so hourly wage at mall=$8
  • 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 = [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=440x-320x[/tex]

    ⇒ [tex]960=120x[/tex]

    ⇒ [tex]\frac{960}{120}=x[/tex]

    ⇒ [tex]8=x[/tex]

    Hence the hourly wage at mall is $8

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