there are some pets in a pet shop. 36% of them are rabbits, 28% of them are dogs and the rest are hamsters. If there are 160 dogs and hamsters, how many pets are there in the pet shop altogether?

Answer: 250 pets

Step-by-step explanation:

Let the total number of pets in the pet shop be x

36% of them are rabbits. This means that the number of pets that are rabbit 36/100 * x = 0.36*x = 0.36x

28% of them are dogs. This means that the number of pets that are dogs are 28/100 * x = 0.28*x = 0.28x

The rest are hamsters. This means that total number of hamsters is total number of pets minus sum of rabbits and dogs.

Number of hamsters = x - (0.28x + 0.36x) = 0.36x

If there are 160 dogs and hamsters, it means that

0.28x + 0.36x = 160

0.64x = 160

x = 160/0.64

x = 250

250

Step-by-step explanation:

36% are rabbits, and 28% are dogs. That means the percent that are hamsters is:

100% - 36% - 28% = 36%

There are 160 dogs and hamsters, which are 28% + 36% = 64% of the pets. Therefore, we can write and solve a proportion:

160 / 64% = x / 100%

x = 250

There are a total of 250 pets.