Question

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 1

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

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,

`x+y=38` ..............(1)

and
`13x+9.25y=434` ................(2)

Solving equation (1) and (2) ,

Multiply equation (1)by 13 , We get

(1) ⇒
`13x+13y=494` ..............(3)

Subtract (2) from (3) , We get ,

`13x+13y-(13x+9.25y)=494-434`

`\Rightarrow 13y-9.25y=60`

`\Rightarrow 3.75y=60`

`\Rightarrow y=16`

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

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

`x+y=38 \Rightarrow x+16=38 \Rightarrow x=38-16 \Rightarrow x=22`

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