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?

Option 1: $600
Option 2: $900
Option 3: $1,200
Option 4: $1,800

Answer 1

Joe needs to reserve 5 blocks of rooms, costing $4500.

Step-by-step explanation:

To find the least amount of additional money Joe can spend to get the rooms they need, we need to determine the number of additional rooms Joe needs to reserve and then calculate the cost of those rooms.

Joe already reserved and paid for 16 rooms and he needs at least 50 total rooms. So, he needs to reserve 50 - 16 = 34 additional rooms.

Each block of rooms contains 8 rooms and costs $900, so Joe needs to reserve 34 / 8 = 4.25 blocks. Since he can only reserve rooms in whole blocks, he needs to reserve at least 5 blocks.

The cost of 5 blocks is 5 * $900 = $4500. Therefore, the least amount of additional money Joe can spend to get the rooms they need is $4500.