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ACT Exam  >  ACT Questions  >  Gary has turtles, cats, and birds for pets. T... Start Learning for Free
Gary has turtles, cats, and birds for pets. The number of birds he has is 4 more than the number of turtles, and the number of cats is 2 times the number of birds. Of the following, which could be the total number of Gary’s pets?
  • a)
    14
  • b)
    18
  • c)
    20
  • d)
    22
  • e)
    26
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Gary has turtles, cats, and birds for pets. The number of birds he has...
The correct answer is c. To solve this problem, realize that the number of pets that Gary has is determined through relationships between the quantities of the different types of pets: turtles (t), cats (c), and birds (b). Because the number of birds, b, is 4 more than the number of turtles, t , this can be expressed as b = t + 4. Also, since the number of cats, c, is 2 times the number of birds, this can be expressed as c = 2b. You might wish to use a table to show the numerical relationship between the numbers of each pet and the total number of pets, using the answer choices as a guideline:

According to this matrix, Gary could have a total of 20 pets, but he could not have a total of 14, 18, 22, or 26 pets.
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Community Answer
Gary has turtles, cats, and birds for pets. The number of birds he has...
Given Information:
- Number of birds = Number of turtles + 4
- Number of cats = 2 * Number of birds

Let's solve the problem step by step:

Step 1: Express the number of pets in terms of one variable
Let's assume the number of turtles = T
Number of birds = T + 4
Number of cats = 2 * (T + 4) = 2T + 8

Step 2: Total number of pets
Total number of pets = Turtles + Birds + Cats
Total number of pets = T + (T + 4) + (2T + 8)
Total number of pets = 4T + 12

Step 3: Possible values for the total number of pets
Now, we need to check which of the given options can be expressed in the form 4T + 12:
a) 14: 4T + 12 = 14 has no integer solution for T
b) 18: 4T + 12 = 18, T = 1.5 which is not an integer
c) 20: 4T + 12 = 20, T = 2 which is an integer
d) 22: 4T + 12 = 22, T = 2.5 which is not an integer
e) 26: 4T + 12 = 26 has no integer solution for T
Therefore, the only possible total number of Gary's pets is 20, which corresponds to option C.
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Gary has turtles, cats, and birds for pets. The number of birds he has is 4 more than the number of turtles, and the number of cats is 2 times the number of birds. Of the following, which could be the total number of Gary’s pets?a)14b)18c)20d)22e)26Correct answer is option 'C'. Can you explain this answer?
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Gary has turtles, cats, and birds for pets. The number of birds he has is 4 more than the number of turtles, and the number of cats is 2 times the number of birds. Of the following, which could be the total number of Gary’s pets?a)14b)18c)20d)22e)26Correct answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Gary has turtles, cats, and birds for pets. The number of birds he has is 4 more than the number of turtles, and the number of cats is 2 times the number of birds. Of the following, which could be the total number of Gary’s pets?a)14b)18c)20d)22e)26Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Gary has turtles, cats, and birds for pets. The number of birds he has is 4 more than the number of turtles, and the number of cats is 2 times the number of birds. Of the following, which could be the total number of Gary’s pets?a)14b)18c)20d)22e)26Correct answer is option 'C'. Can you explain this answer?.
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