Question

complete the two - way table to answer the question about animals at a groomer.

	dogs	cats	total
unbathed	2	1
total

which statement is true?

• 28 animals are at the groomer.
• 3 unbathed dogs are at the groomer.
• 8 cats are at the groomer.
• 7 bathed animals are at the groomer.

Explanation:

Step1: Complete the two - way table

• For the "Bathed" row total: Add the number of bathed dogs and bathed cats. So, \(4 + 7=11\).
• For the "Unbathed" row total: Add the number of unbathed dogs and unbathed cats. So, \(2+1 = 3\).
• For the "Dogs" column total: Add the number of bathed dogs and unbathed dogs. So, \(4 + 2=6\).
• For the "Cats" column total: Add the number of bathed cats and unbathed cats. So, \(7+1 = 8\).
• For the overall total: Add the total number of dogs and total number of cats (or add the row totals). So, \(6 + 8=14\) (or \(11+3 = 14\)).

Step2: Analyze each statement

• Statement 1: "28 animals are at the groomer." From our calculation, the total number of animals is 14, so this is false.
• Statement 2: "3 unbathed dogs are at the groomer." The number of unbathed dogs is 2, so this is false.
• Statement 3: "8 cats are at the groomer." From the "Cats" column total, we calculated \(7 + 1=8\), so this is true.
• Statement 4: "7 bathed animals are at the groomer." The number of bathed animals is \(4 + 7 = 11\), so this is false.

Answer:

1. 8 cats are at the groomer.