Question

Casey has cats, and Dylan has dogs. They both have the same number of pets. Hannah has hamsters equals the total number of cats and dogs. Gavin has goldfish. The number of goldfish is 3 times the number of hamsters. If there are 20 pets in all, how many pets does each person have ?

Answer 1

Casey and Dylan each have 2 pets, Hannah has 4 pets, and Gavin has 12 pets, summing up to a total of 20 pets.

Step-by-step explanation:

Let's denote the number of pets Casey and Dylan each have as x. Hannah has the total number of cats and dogs, which is 2x. Gavin's goldfish number is 3 times the number of Hannah's hamsters, so Gavin has 3(2x) = 6x goldfish. The total number of pets is given as 20, so the equation to find the value of x is:

x + x + 2x + 6x = 20

Simplifying, we get:

10x = 20

Dividing both sides by 10 gives us:

x = 2

Therefore:

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• Casey's cats: 2
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• Dylan's dogs: 2
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• Hannah's hamsters: 4 (2x)
• 
  
• Gavin's goldfish: 12 (6x)

Each person has a different number of pets as calculated above, summing up to the total of 20 pets.