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Suppose you have a job teaching swimming lessons and get paid $8 an hour. You also have a job as a cashier and get paid $10 an hour. If you cannot work more than 22 hours a week, what are the number of hours you can work at each job and still make at least $190?

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Dapthebird101
If you worked 19 hours per week at the cashier job, plus three hours a week doing swimming lessons, you'd be working 22 hours exactly, and making $214 per week. I hope this helps, and good luck! :)

Answer:

One has to work 7 hours as a cashier and 15 hours as a swimming teacher.

Step-by-step explanation:

Suppose you have a job teaching swimming lessons and get paid $8 an hour. Let this be represented by 's'

You also have a job as a cashier and get paid $10 an hour. Let this be represented by 'c'

Given is you cannot work more than 22 hours a week, so equation forms:

[tex]s+c\leq 22[/tex]

This becomes [tex]s\leq 22-c[/tex]

What are the number of hours you can work at each job and still make at least $190 is represented by :

[tex]8s+10c\geq 190[/tex]

Putting values of 's' here,

[tex]8(22-c)+10c\geq 190[/tex]

[tex]176-8c+10c\geq 190[/tex]

[tex]2c+176\geq 190[/tex]

[tex]2c \geq 190-176[/tex]

[tex]2c \geq 14[/tex]

[tex]c \geq 7[/tex] hours

So, s = [tex]22-7=15[/tex] hours

So, one has to work 7 hours as a cashier and 15 hours as a swimming teacher to make at least $190.

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