Algebra 1 Word Problem

Question

Zachary is working two summer jobs, making $11 per hour lifeguarding and making $14 per hour clearing tables. In a given week, he can work no more than 17 total hours and must earn a minimum of $210. Also, he must work at most 14 hours clearing tables. If x represents the number of hours lifeguarding and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

x+y≤17

11x+14y≥210

y≤14

One possible solution is x=5, y=12.

Answer 2

11x+14y=210

x+y=14

The best I can do is x=9.5, y=7.5=$209.5

9 8 $211