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A survey of 394 children given at a local elementary school showed that 150 like chocolate ice cream 175 like pistachio ice cream, and 169 do not like chocolate or pistachio ice cream. How many children like at most one kind of ice cream mentioned in the survey?a) 75b) 50c) 325d) 219e) 294please explain and show work!

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MechEngineer

Answer:

e) 294 children

Step-by-step explanation:

Since there are 394 children in total and 169 do not like either ice-cream, the number of children who likes at least 1 ice cream is

394 - 169 = 225 children

Out of 225 children, 150 like pistachio icecream, some of them may like both. Therefore the number of children who likes ONLY chocolate icecream is

225 - 150 = 75 children

Similarly, out of 225 children, 175 like chocolate icecream, some of them may like both. Therefore the number of children who likes ONLY pitaschio icecream is

225 - 175 = 50 children

So the total number of children who like at most only 1 kind of ice cream is

75 + 50 + 169 = 294 children

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