Question

the table shows the results of a survey at a local school. the survey asked $7^{\text{th}}$ and $8^{\text{th}}$ graders if they pack their lunches or if they buy their lunches in the school cafeteria. here are the results. - 45 seventh graders were surveyed and 18 of them pack their lunches. - 58 eighth graders were surveyed and 35 of them buy their lunches. construct a two - way frequency table for the data. \

$$\begin{tabular}{|c|c|c|c|} \\hline & pack a lunch & buy lunch & total \\\\ \\hline $7^{\\text{th}}$ graders & $\\square$ & $\\square$ & $\\square$ \\\\ \\hline $8^{\\text{th}}$ graders & $\\square$ & $\\square$ & $\\square$ \\\\ \\hline total & $\\square$ & $\\square$ & $\\square$ \\\\ \\hline \\end{tabular}$$

Explanation:

Step1: Fill 7th grader known values

$7^\text{th}$ graders: Pack = 18, Total = 45

Step2: Calculate 7th graders who buy

$45 - 18 = 27$

Step3: Fill 8th grader known values

$8^\text{th}$ graders: Buy = 35, Total = 58

Step4: Calculate 8th graders who pack

$58 - 35 = 23$

Step5: Calculate total packers

$18 + 23 = 41$

Step6: Calculate total buyers

$27 + 35 = 62$

Step7: Calculate overall total

$45 + 58 = 103$

Answer:

	Pack a Lunch	Buy Lunch	Total
8th graders	23	35	58
Total	41	62	103