for the soccer banquet, the players and their family members selected their favorite main dish and side…

for the soccer banquet, the players and their family members selected their favorite main dish and side dish. of the 39 people who chose chicken as the main dish, 18 wanted potatoes. of the 32 people who chose rice as a side - dish, 6 chose fish as a main dish. a total of 8 people chose a vegetarian meal with potatoes, and a total of 10 people chose fish as their main dish. which two - way table correctly displays this data?

for the soccer banquet, the players and their family members selected their favorite main dish and side dish. of the 39 people who chose chicken as the main dish, 18 wanted potatoes. of the 32 people who chose rice as a side - dish, 6 chose fish as a main dish. a total of 8 people chose a vegetarian meal with potatoes, and a total of 10 people chose fish as their main dish. which two - way table correctly displays this data?

Answer

Explanation:

Step1: Determine values directly given in the text.

Total Chicken = 39 Chicken & Potatoes = 18 Total Fish = 10 Fish & Rice = 6 (From "Of the 32 people who chose rice... 6 chose fish") Vegetarian & Potatoes = 8 Total Rice = 32

Step2: Calculate the number of people who chose Chicken and Rice.

This is the total number of people who chose Chicken minus those who chose Chicken and Potatoes. $$ \text{Chicken & Rice} = \text{Total Chicken} - \text{Chicken & Potatoes} $$ $$ \text{Chicken & Rice} = 39 - 18 = 21 $$

Step3: Calculate the number of people who chose Fish and Potatoes.

This is the total number of people who chose Fish minus those who chose Fish and Rice. $$ \text{Fish & Potatoes} = \text{Total Fish} - \text{Fish & Rice} $$ $$ \text{Fish & Potatoes} = 10 - 6 = 4 $$

Step4: Calculate the number of people who chose Vegetarian and Rice.

This is the total number of people who chose Rice minus those who chose Chicken & Rice and Fish & Rice. $$ \text{Vegetarian & Rice} = \text{Total Rice} - (\text{Chicken & Rice} + \text{Fish & Rice}) $$ $$ \text{Vegetarian & Rice} = 32 - (21 + 6) = 32 - 27 = 5 $$

Step5: Calculate the remaining totals to complete the table.

Total Vegetarian = Vegetarian & Rice + Vegetarian & Potatoes = $5 + 8 = 13$ Total Potatoes = Chicken & Potatoes + Fish & Potatoes + Vegetarian & Potatoes = $18 + 4 + 8 = 30$ Grand Total = Total Chicken + Total Fish + Total Vegetarian = $39 + 10 + 13 = 62$ Alternatively, Grand Total = Total Rice + Total Potatoes = $32 + 30 = 62$

Step6: Compare the calculated values with the provided tables.

The table matching these values is:

Chicken Fish Vegetarian Total
Rice 21 6 5 32
Potatoes 18 4 8 30
Total 39 10 13 62

This corresponds to the second table option provided in the image.

Answer:

The correct two-way table is the second option:

Chicken Fish Vegetarian Total
Rice 21 6 5 32
Potatoes 18 4 8 30
Total 39 10 13 62