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A survey of students' pets were taken. If
(1)/(4) of the students had a dog only, 20% had a cat only, 15% had multiple pets, and 0.08 had pets other than cats or dogs. What fraction of the students did not have a pet? PLS SHOW WORK!

User Nuno Lopes
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1 vote

Answer:

32% of the students did not have a pet.

Explanation:

From the total students (100%):

  1. 1/4 of them had a dog only,
    (1)/(4)=0.25=25\%. Then, 25% had a dog only.
  2. 20% only had a cat.
  3. 15% had multiple pets.
  4. 0.08=8% only had other than cats or dogs.
  5. Adding up all these cases, we obtain the proportion of students that had at least one pet:
    25\%+20\%+15\%+8\%=68\%. Then, 68% of the students did have a pet.
  6. The rest of the students
    100\%-68\%=32\%, did not have any pet.
User Ingry
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