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?
Of the 39 people who chose chicken, 18 chose potatoes, so 39 − 18 = 21 chose rice. The rice row totals 32, and 6 of those chose fish, leaving 32 − 21 − 6 = 5 who chose vegetarian. Since 10 people chose fish altogether, 10 − 6 = 4 chose fish with potatoes. The potatoes row is therefore 18 chicken, 4 fish, and 8 vegetarian, totaling 30; these values match choice D.
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