Question

a random sample of students was surveyed and asked to list their grade level and whether or not they have a pet.
· 20 seventh graders said they dont have a pet.
· 25 eighth graders said they have pets.
· 37 total students said they have pets.
· 47 total students said they dont have a pet.
fill in the missing values in the table below.
pets survey
7th grade
8th grade
total
pets
no pets
total

Explanation:

Step1: Find the number of seventh - graders with pets

We know that the total number of students with pets is \(37\) and the number of eighth - graders with pets is \(25\).
Let \(x\) be the number of seventh - graders with pets. Then \(x + 25=37\), so \(x=37 - 25=12\).

Step2: Find the number of eighth - graders without pets

We know that the total number of students without pets is \(47\) and the number of seventh - graders without pets is \(20\).
Let \(y\) be the number of eighth - graders without pets. Then \(y + 20=47\), so \(y=47 - 20 = 27\).

Step3: Find the total number of seventh - graders

The number of seventh - graders is the sum of seventh - graders with pets and without pets. So it is \(12+20 = 32\).

Step4: Find the total number of eighth - graders

The number of eighth - graders is the sum of eighth - graders with pets and without pets. So it is \(25 + 27=52\).

Step5: Fill in the total row

The total number of students with pets is \(37\), the total number of students without pets is \(47\), and the total number of students is \(37+47=84\).

Answer:

	Pets	No Pets	Total
8th grade	\(25\)	\(27\)	\(52\)
Total	\(37\)	\(47\)	\(84\)