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?
125-(7+9-5) = ?
didn't i get the right answer
To find out how many cats are neither old nor favorite, we need to subtract the number of cats that are either old, favorite, or both from the total number of cats.
Let's use a step-by-step approach to solve the problem:
1. Start with the total number of cats: 125.
2. Determine the number of cats that are either old, favorite, or both.
- 7 cats are old.
- 9 cats are favorite.
- 5 cats are both old and favorite.
To calculate the total number of cats that are either old, favorite, or both, we can use the principle of inclusion-exclusion.
Total = Old + Favorite - Both
= 7 + 9 - 5
= 11
3. Subtract the number of cats that are either old, favorite, or both from the total number of cats.
Cats that are neither old nor favorite = Total number of cats - Number of cats that are either old, favorite, or both
= 125 - 11
= 114
Therefore, there are 114 cats that are neither old nor favorite.