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Dima020 [189]
3 years ago
12

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 ho

ur 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?
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

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

Step-by-step 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 = \frac{220-6x}{5} \\\\x + y \leq 40\\x + \frac{220-6x}{5} \leq 40\\5x + 220 - 6x \leq 200\\x \geq 20

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