4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked eating candies, 49% liked eating fruits and 55% liked eating rice. In addition, 5% liked eating candies and fruits but not rice, 8% liked eating rice and fruits but not candies, and 10% liked eating candies and rice but not fruits. 6% did not like eating candies, fruits, or rice. a) How many children like eating all food (candies, fruits, and rice)? How many children like eating candies only? How many children like eating fruits only? b) c)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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4) A survey for 500 children is conducted in a town. The results show that
approximately 53 % liked eating candies, 49% liked eating fruits and 55%
liked eating rice. In addition, 5% liked eating candies and fruits but not
rice, 8% liked eating rice and fruits but not candies, and 10% liked eating
candies and rice but not fruits. 6% did not like eating candies, fruits, or
rice.
a)
b)
c)
d)
How many children like eating all food (candies, fruits, and
rice)?
How many children like eating candies only?
How many children like eating fruits only?
How many children like eating only one type of the
foods listed?
e)
Find the number of children who like eating at least two of
the given foods.
*** Draw the Venn diagram illustrating the problem.
Transcribed Image Text:4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked eating candies, 49% liked eating fruits and 55% liked eating rice. In addition, 5% liked eating candies and fruits but not rice, 8% liked eating rice and fruits but not candies, and 10% liked eating candies and rice but not fruits. 6% did not like eating candies, fruits, or rice. a) b) c) d) How many children like eating all food (candies, fruits, and rice)? How many children like eating candies only? How many children like eating fruits only? How many children like eating only one type of the foods listed? e) Find the number of children who like eating at least two of the given foods. *** Draw the Venn diagram illustrating the problem.
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