Question

A hotel with 80 rooms has 45 for doubles

and 35 singles. Singles can be booked in
any room, but reservations for two or
more people must be booked in double
rooms.
Let x be the number of single reservations and y
the number of reservations for two or more.
Which system of inequalities represents this
situation?
Click on the correct answer.
x ≥ 35 x + y ≤ 80
y ≤ 45 x + y ≤ 80
x≤ 35 x+y≤ 80
y≥ 45 x + y ≤ 80

Answer 1

y ≤ 45

Explanation:

First y must be less than or equal to 45.

y ≤ 45 x + y ≤ 80

And total number of reservations cannot exceed 80:

x + y ≤ 80.