Question

A hotel with 95 rooms has 65 for doublesand 25 singles. Singles can be booked inany room, but reservations for two ormore people must be booked in doublerooms.Let x be the number of single reservations andy the number of reservations for two or more.Which system of inequalities represents thissituation?Click on the correct answer.x 25x + y s 95y s 65x + y s 95XS 25x + y s 95y 2 65x + y s 95

Answer 1

Step 1

Since singles can be booked in any room and for two or more reservations only 65 rooms can be booked, then the inequalities that represent these situations are

y≤65

Since for two or more people, reservations must be booked in doubles and any room can be booked for singles then only 65 or fewer rooms can be booked for two or more people. If below 25 the results spill to singles

And

x+ y≤95

Hence option B