SOLUTION: A survey was conducted using 120 people. 52 of the people said they liked apples and 27 said they liked grapes. 6 people said they liked both apples and grapes. How many of the pe

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Question 1203837: A survey was conducted using 120 people. 52 of the people said they liked apples and 27 said they liked grapes. 6 people said they liked both apples and grapes.
How many of the people liked neither of these two types of fruit?
Found 2 solutions by math_tutor2020, MathLover1:
Answer by math_tutor2020(3816) (Show Source):
You can put this solution on YOUR website!

52 liked apples (some also like grapes)
6 liked both
52-6 = 46 liked apples only

27 liked grapes (some also like apples)
6 liked both
27-6 = 21 liked grapes only

46 likes apples only
21 likes grapes only
6 like both
46+21+6 = 73 people like either fruit or both

120-73 = 47 people dislike both fruits.

If you draw out a venn diagram, then you should get this:

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Answer: 47

Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!

of the people said they liked apples
said they liked grapes
people said they liked both apples and grapes
if people said they liked both apples and grapes, then
of the people like only apples
like only grapes
to find out how many of the people liked neither of these two types of fruit, deduct from

so, people liked neither of these two types of fruit