A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities?

Question

alishia · Answer

please help me i am dying because of this question

Nnesha · Answer

there are 2 situations:
1) `A new coffee shop can hold no more than 50 seats`
2) `The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners` 
x= the number of stools 
y = number of recliners 
owner wants `no more than` 50  seats. 
for example,  `a` is no more than `b`  we write it as  $$a \le b$$
x+y should be less than or equal to 50 $$\rm x+y \le 50~~~~~(equation ~1)$$
2) at least 20 of the seats to be stools 
the inequality sign we use for `at least ` is ≥
 $$x \ge 20~~~~(eq --> 2)$$

Nnesha · Answer

https://www.desmos.com/ for graph