Question

Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs 900. Let B represent the number of additional blocks that Joe reserves. What is the least amount of additional money Joe can spend to get the rooms they need?

Answer 1

$3825

Explanation:

From the given information:

Suppose, the number of rooms required is x; Then, we can illustrate the inequality to be:

x ≥ 50

The information proceeds by stating that Joe reserved and paid for 16 rooms earlier.

Thus, the number of the additional rooms needed for reservation = 50 - 16 = 34 rooms.

So, we knew now that the least number of rooms to be reserved is 34.

Given that; B represents the number of additional blocks that Joe reserves.

Then the inequality can be written as:

B ≥ 34

However; each block has 8 rooms;

i.e. the minimum number of blocks needed for reservation = 34/8

= 4.25

Finally, since each block cost rates fro $900

Then, the least amount of additional money Joe can spend to get the rooms they need is = $900(4.25)

= $3825