5. A group of 62 students were surveyed, and it was found that each of the students surveyed liked at least one of the folowing three fruits: apricots, bananas, and cantaloupes. 34 liked apricots. 30 liked bananas. 33 liked cantaloupes. 11 liked both apricots and bananas. 15 liked both bananas and cantaloupes. 17 liked both apricots and cantaloupes. 19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes. Find the following: f. How many students liked all of the following three fruits: apricots, bananas, and cantaloupes? g. How many students liked apricots and cantaloupes, but not bananas?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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5. A group of 62 students were surveyed, and it was found that each of the students
surveyed liked at least one of the folowing three fruits: apricots, bananas, and
cantaloupes.
34 liked apricots.
30 liked bananas.
33 liked cantaloupes.
11 liked both apricots and bananas,
15 liked both bananas and cantaloupes.
17 liked both apricots and cantaloupes.
19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes.
Find the following:
f. How many students liked all of the following three fruits: apricots, bananas, and
cantaloupes?
g. How many students liked apricots and cantaloupes, but not bananas?
Transcribed Image Text:5. A group of 62 students were surveyed, and it was found that each of the students surveyed liked at least one of the folowing three fruits: apricots, bananas, and cantaloupes. 34 liked apricots. 30 liked bananas. 33 liked cantaloupes. 11 liked both apricots and bananas, 15 liked both bananas and cantaloupes. 17 liked both apricots and cantaloupes. 19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes. Find the following: f. How many students liked all of the following three fruits: apricots, bananas, and cantaloupes? g. How many students liked apricots and cantaloupes, but not bananas?
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