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. 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: Analyze first option

Total children who do not have a pet: \(18 + x+16 + 2\). Total \( = 200-125=75
eq125\). So this option is wrong.

Step2: Analyze second option

Children who have 1 pet: total \(125\). \(34 + 57+z + 6=125\), \(z = 28\). Number of children with 1 pet and 0 siblings is \(34
eq40\). So this option is wrong.

Step3: Analyze third option

Children with 0 siblings: \(34 + 18=52
eq125\). So this option is wrong.

Step4: Analyze fourth option

Children with 1 sibling: total \(97\). Number of children with 1 sibling and no - pet: \(97 - 57=40\). This option is correct.

Answer:

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