A pet store is building new cages for their birds. They have

8 cockatiels, 32 parakeets, and 28 finches. How many cages will they need if each cage will hold either 2 cockatiels, 10 parakeets, or 14 finches. The different types of birds are all kept separate.

To determine the number of cages needed for each type of bird, we need to divide the total number of each bird species by the capacity of each bird cage.

First, let's start with the cockatiels. Each cage can hold 2 cockatiels, so we divide the total number of cockatiels (8) by 2:

8 cockatiels ÷ 2 cockatiels per cage = 4 cages for cockatiels

Next, let's move on to the parakeets. Each cage can hold 10 parakeets, so we divide the total number of parakeets (32) by 10:

32 parakeets ÷ 10 parakeets per cage = 3.2 cages for parakeets

Since we can't have a fraction of a cage, we need to round up to the nearest whole number. Therefore, we will need 4 cages for parakeets.

Lastly, let's calculate the number of cages needed for the finches. Each cage can hold 14 finches, so we divide the total number of finches (28) by 14:

28 finches ÷ 14 finches per cage = 2 cages for finches

In total, the pet store will need 4 cages for cockatiels, 4 cages for parakeets, and 2 cages for finches. Adding these together, the store will need a total of 10 cages to house all of the birds separately.