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Melania has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. Her office job pays her $13 per hour. Her cashier job pays her $9.25 per hour. In one week, Melania worked 38 hours, She earned a total of $434. How many hours did Melania work in each job?

Answer :

Answer:

Melania works as Cashier  for 16 hours and as Office clerk  for 22 hours  per week.

Step-by-step explanation:

Let  Melania works as Office clerk  for x hours per week.

and Melania works as Cashier  for  y hours per week.

Also, given Her office job pays her $13 per hour then, she get  $13x per week

and Her cashier job pays her $9.25 per hour then, she get  $9.25y per week

then, According to the given question,

[tex]x+y=38[/tex]  ..............(1)

and [tex]13x+9.25y=434[/tex]  ................(2)

Solving equation (1) and (2) ,

Multiply equation (1)by 13 , We get

(1) ⇒ [tex]13x+13y=494[/tex]  ..............(3)

Subtract (2)  from (3) , We get ,

[tex]13x+13y-(13x+9.25y)=494-434[/tex]

[tex]\Rightarrow 13y-9.25y=60[/tex]

[tex]\Rightarrow 3.75y=60[/tex]

[tex]\Rightarrow y=16[/tex]

Thus, Melania works as Cashier  for 16 hours per week.

Put y = 16 in (1), We get,

[tex]x+y=38 \Rightarrow x+16=38 \Rightarrow x=38-16 \Rightarrow x=22[/tex]

Thus, Melania works as Office clerk  for 22 hours per week.

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