Question

a survey was taken of children between the ages of 10 and 17 about how many siblings they have and whether they have a pet. the results of the survey are shown in the table.

	0 siblings	1 sibling	2 siblings	3 or more siblings	total
does not have a pet	18		15	2
total		97			200

which statement must be true?

• out of the 125 children who do not have a pet, 18 of them have 2 siblings.
• out of the 97 children who have 1 pet, 40 of them do not have any siblings.
• out of the 125 children who do not have any siblings, 34 of them have a pet.
• out of the 97 children who have 1 sibling, 40 of them do not have a pet.

Explanation:

Step1: Fill missing table values

First, calculate missing cells:

• For "Does Not Have a Pet, 1 Sibling": $97 - 57 = 40$
• For "Has a Pet, Total": $34 + 57 + 15 + 6 = 112$
• For "Does Not Have a Pet, Total": $200 - 112 = 88$
• For "0 Siblings, Total": $34 + 18 = 52$
• For "2 Siblings, Total": $15 + 15 = 30$
• For "3 or More Siblings, Total": $6 + 2 = 8$

Completed table:

	0 Siblings	1 Sibling	2 Siblings	3 or More Siblings	Total
Does Not Have a Pet	18	40	15	2	88
Total	52	97	30	8	200

Step2: Verify each option

• Option1: "18 no-pet kids have 2 siblings" → Table shows 15, false.
• Option2: "97 pet kids have 0 siblings" → Table shows 34 pet kids with 0 siblings, false.
• Option3: "125 no-sibling kids have 34 pets" → Total no-sibling kids are 52, false.
• Option4: "97 1-sibling kids: 40 no pet" → $97 - 57 = 40$, true.

Answer:

Out of the 97 children who have 1 sibling, 40 of them do not have a pet.