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.

Let c represent the number of hours that Melania works as an office clerk. Which equation can be used to find how many hours Melania worked in both jobs?

13c + 9.25(c – 38) = 434

13c + 9.25(38 – c) = 434

13c + 9.25(434 – c) = 38

9.25c + 13(38 – c) = 434

PT2 . Soren has two jobs. During the day he works as an office clerk, and in the evening he works as a cashier. His office job pays him $11 per hour. His cashier job pays him $8.75 per hour. In one week, Soren worked 46 hours. He earned a total of $470.

How many hours did Soren work in each job?

Office clerk: 16 hours; cashier: 30 hours

Office clerk: 20 hours; cashier: 26 hours

Office clerk: 30 hours; cashier: 16 hours

Office clerk: 31 hours; cashier: 15 hours

Also, 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.

We have to find the equation that can be used to find the hours Melania worked in both jobs.

Melania worked 38 hours

Let c represent the number of hours that Melania works as an office clerk then number of hours that Melania works as a cashier is (38 - c)

and given Her office job pays her $13 per hour. Her cashier job pays her $9.25 per hour.

then for c hours she gets 13c and for (38 - c) hours she gets 9.25(38 - c)

She total gets $ 434.

So, 13c +9.25(38 - c) = 434 equation can be used to find the hours Melania worked in both jobs.

2)

Soren has two jobs. During the day he works as an office clerk, and in the evening he works as a cashier. His office job pays him $11 per hour. His cashier job pays him $8.75 per hour. In one week, Soren worked 46 hours. He earned a total of $470.

Let Soren works as office clerk for t hours. then he works for cashier for (46-t).

Also, given His office job pays him $11 per hour. His cashier job pays him $8.75 per hour.

then for t hours she gets 11t and for (46-t) hours she gets 8.75(46 - t)

He total gets $470.

11t + 8.75(46 - t) = 470

Solving the equation , we get,

11t + 402.5 - 8.75t = 470

Simplify for t , we get,

2.25t = 67.5

t = 30

Thus, Soren works for 30 hours as office clerk and 16 hours as cashier.