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Brayden is working two summer jobs, making $18 per hour lifeguarding and making $9 per hour clearing tables. In a given week, he can work no more than 19 total hours and must earn a minimum of $270. If Brayden worked 14 hours lifeguarding, determine the minimum number of whole hours clearing tables that he must work to meet his requirements. If there are no possible solutions, submit an empty answer. please help me!!

Respuesta :

Answer:

2 hours.

Step-by-step explanation:

Money earned for 14 hours of life-guarding = 14*18 = $252.  If he worked another 5 hours  to make the maximum of 19 he would earn 252 + 5*9

= $297  but he wants to work a minimum of hours for  a minimum of 270.

Thus we have the inequality:

252 + 9x ≤ 270

9x  ≤  18

x  ≤ 2.

So the number of hours he must do clearing tables = 2.

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