In a study of the incidence of rickets in Tibetan children, a total of 1,556 urban and nonurban children were examined. Of these 1,019 had rickets. Of the 235 urban children in the study, 90 had rickets. Use Venn diagrams to determine how many children in nonurban areas had rickets, and how many children in nonurban areas did not have rickets.
A)1,019 children in nonurban areas had rickets, and 537 in nonurban areas did not have rickets.
B) 90 children in nonurban areas had rickets, and 145 in nonurban areas did not have rickets.
C) 145 children in nonurban areas had rickets, and 392 in nonurban areas did not have rickets.
D) 929 children in nonurban areas had rickets, and 392 in nonurban areas did not have rickets.
E) 392 children in nonurban areas had rickets, and 929 in nonurban areas did not have rickets.

Question

In a study of the incidence of rickets in Tibetan children, a total of 1,556 urban and nonurban children were examined. Of these 1,019 had rickets. Of the 235 urban children in the study, 90 had rickets. Use Venn diagrams to determine how many children in nonurban areas had rickets, and how many children in nonurban areas did not have rickets.  
A)1,019 children in nonurban areas had rickets, and 537 in nonurban areas did not have rickets.
B) 90 children in nonurban areas had rickets, and 145 in nonurban areas did not have rickets.
C) 145 children in nonurban areas had rickets, and 392 in nonurban areas did not have rickets.
D) 929 children in nonurban areas had rickets, and 392 in nonurban areas did not have rickets.
E) 392 children in nonurban areas had rickets, and 929 in nonurban areas did not have rickets.

Quizplus · Accepted Answer

From the given data, we can create a Venn diagram with two circles representing urban and nonurban children. The total number of children in the study is 1,556, which can be divided into urban (235) and nonurban (1,321) children.

Next, we know that 1,019 children had rickets, which we can write as the sum of the number of urban children with rickets (90) and the number of nonurban children with rickets (x):

1,019 = 90 + x

Solving for x, we get:

x = 929

Therefore, 929 children in nonurban areas had rickets.

To find the number of nonurban children without rickets, we can subtract the number of nonurban children with rickets from the total number of nonurban children:

1,321 - 929 = 392

Therefore, 392 children in nonurban areas did not have rickets.

Thus, the answer is D.

In a Study of the Incidence of Rickets in Tibetan