An old lady has 125 cats. seven of them are old, 9 of them are her favorite, 5 of them are both (old and favorite). how many of them are neither old nor favorite? answer:

Since she has 125 cats and 5 of them are both old and her favorite, we’ll just take that away and get 120. Out of the 7 that are old, 5 were her favorite, so only 2 of them were just old and we now have 118. Out of the 9 that were her favorite, 5 were old, so only 4 if them were just her favorite and now we have 114. A total of 11 cats were either old, her favorite, or both, so we’re left with 114 that are neither.