Question

a random sample of students was surveyed and asked to list their grade level and whether or not they have a pet. results are shown in the table below, but some values are missing. fill in the missing values. pets survey | | pets | no pets | total | | 6th grade | | | | | 7th grade | 28 | 21 | | | 8th grade | 17 | | 40 | | total | 63 | 62 | |

Explanation:

Step1: Find 6th grade with pets

Let \( x \) = 6th grade with pets. Total with pets = 63, so:
\( x + 28 + 17 = 63 \)
\( x = 63 - 45 = 18 \)

Step2: Find 7th grade total

7th grade total = pets + no pets:
\( 28 + 21 = 49 \)

Step3: Find 8th grade no pets

Let \( y \) = 8th grade no pets. 8th grade total = 40, so:
\( 17 + y = 40 \)
\( y = 40 - 17 = 23 \)

Step4: Find 6th grade no pets

Let \( z \) = 6th grade no pets. Total no pets = 62, so:
\( z + 21 + 23 = 62 \)
\( z = 62 - 44 = 18 \)

Step5: Find 6th grade total

6th grade total = pets + no pets:
\( 18 + 18 = 36 \)

Step6: Find overall total

Overall total = total pets + total no pets:
\( 63 + 62 = 125 \)

Answer:

Filled table values:

	Pets	No Pets	Total
7th grade	28	21	49
8th grade	17	23	40
Total	63	62	125