SAT Math: Predicting Survey Results Using Subtraction and Percentages

Jack surveyed a random sample of people on the street about whether they preferred winter or summer weather, and every person responded with one of these two options. Of the 35 people he surveyed, 34.3% said they preferred summer weather. If he had surveyed 250 people, approximately how many people would have said they prefer winter weather?

Problem Solving and Data AnalysisData collection and evaluation
Product TypeSAT Math
SATSAT Math
SAT MathProblem Solving and Data Analysis
Statistics and Probability
Test PrepSAT Math

Transcript

00:16

three percent said they preferred summer weather if he had

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survey two hundred fifty people approximately how many people would

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have said they prefer winter weather All right so we

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got a clearly a ratio here Thirty five people is

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in the denominator Thirty four point three percent said they

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preferred summer weather So all we have to do is

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take one minus that point three four three There is

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going to get us about sixty five point seven percent

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which we're going to take as point six five seven

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and multiply by two Fifty to get us the right

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answer We know real quickly it's going to be D

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because the other answers were way too small But let's

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think it through Summer has a sweaty scorching weather but

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the beach is nice Winter has bone chilling sneezy weather

01:01

about Christmas is nice Unfortunately both seasons can be s

01:04

a T study time Yeah Welcome You'll hang out without

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serious question is asking about how many of the two

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hundred fifty person group would like winter Well be honest

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since we're already given the thirty four point three percent

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those thirty five people are irrelevant So that is thirty

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four point three percent like summer And yes that's a

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sixty five point seven percent like winter So we multiply

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that number by two fifties we said and we get

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the hundred sixty four People would say they prefer winter

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bone chilling and sneezy as it is Answer is d

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All right Anyone else feel like listening Teo Justin Timberlake