Question

in a survey 60% of those questioned chose winter as their favorite season if 48 people chose winter than how many people were surveyed

Answer 1

Answer:

  80

Step-by-step explanation:

There are several ways you can solve this.

Write a proportion

  60/100 = 48/x . . . . . . where x represents the number surveyed

  60x = 4800 . . . . . . . . "cross multiply" or multiply by 100x

  4800/60 = x = 80 . . . . divide by the coefficient of x

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Write a math version of the problem statement

  60% of those questioned is 48

  0.60 · x = 48

  48/0.60 = x = 80 . . . . . divide by the coefficient of x

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Think about the numbers

  60%  = 6·10%

  48 = 6·8

so, 10% of those questioned = 8 people. Multiplying by 10 gives

  100% of those questioned = 80 people

(Of course, you know that 100% is all of them.)