Question

You can work a maximum of 40 hours a week. You need to make $440 in order to cover your expenses. Your office job pays $12 an hour and your babysitting job pays $10 an hour. What is the least possible number of hours you can work at your office job and still meet the requirements?

Answer 1

The least possible number of hours you can work at your office job is 20.

Explanation:

$12/h ----> office

$10/h ----> babysitting

"o" -----> hours office job

"b" -----> hours babysitting job

`12x + 10y = 440\\x + y \leq 40\\12x + 10y = 440 -----> 6x + 5y = 220 ----> y = (220-6x)/(5) \\\\x + y \leq 40\\x + (220-6x)/(5) \leq 40\\5x + 220 - 6x \leq 200\\x \geq 20`