A company distributes free boxes of paperclips to all the workers in x offices. Each office has 8 more departments than the number of offices. The number of workers in each department is 4 less than the number of departments in each office. Each worker is given 3 boxes of paperclips.
Which expression shows the number of workers in each department?
b. x + 8
c. x + 4
d. 3x(x + 8)(x + 4)
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After reading the problem carefully, I noted that "Each office has 8 more departments than the number of offices." The number of offices is a given: 'x' represents that. To add 8 to the number of offices would then represent the total number of departments that each office has. Therefore the answer should be x+8. BTW, to help yourself visualize this stuff a little better, substitute easy values like 10 into variables like 'x'. It will look a lot clearer then