Question

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? tables are omitted here as they are in the image

Explanation:

Step1: Analyze chicken and potatoes

We know 39 people chose chicken as main dish, and 18 of them wanted potatoes. So the number of chicken - rice is \(39 - 18=21\).

Step2: Analyze rice and fish

Of the 32 people who chose rice as a side dish, 6 chose fish as a main dish. So the number of rice - fish is 6, and then the number of rice - vegetarian is \(32-(21 + 6)=5\).

Step3: Analyze fish total

A total of 10 people chose fish as their main dish. Since 6 chose fish with rice, the number of fish - potatoes is \(10 - 6 = 4\).

Step4: Analyze vegetarian and potatoes

A total of 8 people chose a vegetarian meal with potatoes. So the number of vegetarian - rice is \(13 - 8=5\) (since total vegetarian is 13). And the total for rice is \(21+6 + 5=32\), total for potatoes is \(18 + 4+8 = 30\), total main dishes: \(39+10 + 13=62\).

Looking at the tables, the second table (the one with Rice: Chicken = 21, Fish = 6, Vegetarian = 5; Potatoes: Chicken = 18, Fish = 4, Vegetarian = 8; Totals: Chicken = 39, Fish = 10, Vegetarian = 13, Total = 62) matches our calculations.

Answer:

The second two - way table (the one with rows Rice, Potatoes, Total and columns Chicken, Fish, Vegetarian, Total where Rice - Chicken = 21, Rice - Fish = 6, Rice - Vegetarian = 5, Rice - Total = 32; Potatoes - Chicken = 18, Potatoes - Fish = 4, Potatoes - Vegetarian = 8, Potatoes - Total = 30; Total - Chicken = 39, Total - Fish = 10, Total - Vegetarian = 13, Total - Total = 62)