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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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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! :)
User Sri Kadimisetty
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Answer:

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

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:


s+c\leq 22

This becomes
s\leq 22-c

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


8s+10c\geq 190

Putting values of 's' here,


8(22-c)+10c\geq 190


176-8c+10c\geq 190


2c+176\geq 190


2c \geq 190-176


2c \geq 14


c \geq 7 hours

So, s =
22-7=15 hours

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

User NaturalDemon
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