A building has 2 floors. Each floor has 4 rooms. Each room has 6 tables. Each table has 5 typewriters. How many typewriters would have to be taken off each table so that the number of typewriters on the tables on one floor would be the same as the number of tables in the building?
4*6*(5-x) = 2*4*6*
5-x = 2
x = 3
To find out how many typewriters would have to be taken off each table so that the number of typewriters on the tables on one floor would be the same as the number of tables in the building, we need to follow these steps:
Step 1: Calculate the number of tables in the building
Since each floor has 4 rooms and each room has 6 tables, we can calculate the total number of tables in the building by multiplying the number of tables in each room by the number of rooms on each floor and then multiplying by the number of floors:
Total number of tables in the building = Number of tables in each room × Number of rooms on each floor × Number of floors
Total number of tables in the building = 6 tables × 4 rooms × 2 floors = 48 tables
Therefore, the building has 48 tables.
Step 2: Calculate the total number of typewriters on all the tables
Since each table has 5 typewriters, we can find the total number of typewriters on all the tables by multiplying the number of typewriters on each table by the total number of tables in the building:
Total number of typewriters on all the tables = Number of typewriters on each table × Total number of tables in the building
Total number of typewriters on all the tables = 5 typewriters × 48 tables = 240 typewriters
Therefore, there are 240 typewriters on all the tables.
Step 3: Calculate the number of typewriters to be taken off each table
To make the number of typewriters on the tables on one floor equal to the number of tables in the building (48 tables), we need to find the excess number of typewriters:
Excess number of typewriters = Total number of typewriters on all the tables - Number of tables in the building
Excess number of typewriters = 240 typewriters - 48 tables = 192 typewriters
To distribute this excess equally among the tables, we divide the total number of typewriters by the number of tables:
Number of typewriters to be taken off each table = Excess number of typewriters ÷ Number of tables in the building
Number of typewriters to be taken off each table = 192 typewriters ÷ 48 tables = 4 typewriters
Therefore, to make the number of typewriters on the tables on one floor equal to the number of tables in the building, you would have to take off 4 typewriters from each table.