Problema Solution

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?

Answer provided by our tutors

the total number of tables in the building:


2 * 4 * 6 = 48 tables


let 'x' represent the number of typewriters takes off each table


Each table has 5 typewriters, after we take off x typewriters off each table there will be 5 - x typewriters on each table


the number of typewriters on the tables on one floor would be:


4*6*(5 - x) = 24(5 - x)


the number of typewriters on the tables on one floor is the same as the number of tables in the building means:


24(5 - x) = 48


by solving we find:


x = 3 typewriters


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3 typewriters would have to be taken off each table.