From the information given in the question, we can initially fill up some boxes in the table.
There are 380 sweatshirts to sell. This total goes in the right-bottom corner of the table:
Of all the sweatshirts, 210 had no hood. That number goes at the end of the row 'No Hood' as follows:
We also know 180 sweatshirts were green. This number goes at the bottom of the column 'Green' as shown below:
Of the sweatshirts that were purple, 70 had a hood. This number goes in the cell that intercepts 'Purple' and 'Hood':
With the information given so far, we can fill up the rest of the table by addition and subtraction.
For example, the last column for Hood should be 380 - 210 = 170
The last row on the second column for Purple should have 380 - 180 = 200
The Green and Hood cell should have 170 - 70 = 100
The Green and No Hood cell should have 180 - 100 = 80
Finally, the cell Purple and No Hood can be calculated in several ways and it should result in the same number for all of them: 200 - 70 = 130
The final table is:
