Question

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?

Answer 1

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:

$s+c\leq 22$

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.

Answer 2

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! :)