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?

2 answers

Question:

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:250Step-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 = 250There are a total of 250 pets.

answer from MathPhys

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Answers #2

Answer: 250 petsStep-by-step explanation:Let the total number of pets in the pet shop be x36% of them are rabbits. This means that the number of pets that are rabbit 36/100 × x = 0.36×x = 0.36x28% of them are dogs. This means that the number of pets that are dogs are 28/100 × x = 0.28×x = 0.28xThe 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) = 0.36xIf there are 160 dogs and hamsters,it means that0.28x + 0.36x = 1600.64x =160x = 160/0.64x = 250

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