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

1 Answer

3 votes

Answer:

80

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.)

User Stefano Potter
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