At the first location, $125$ people were asked about a thought and of those, $22.4 %$ responded favourably and at the second location, $37.5 %$ of $272$ people responded favourably. What percent of all the people surveyed responded favourably?

25.7 %

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30.0 %

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31.5 %

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32.7 %

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Solution

The correct option is D $32.7 %$
Given in first location $125$ people $22.4 %$ responded favorably.
And second location $272$ people $37.5 %$ responded favorably.
Then number of people favorably at first location $=$ $\frac{125}{100} \times 22.4 = 28$
And number of people favorably at second location $=$ $\frac{272}{100} \times 37.5 = 102$
Then total number of person favorably $= 28 + 102 = 130$
And total number of person $= 125 + 272 = 397$
So $%$ of people responded favorably $=$ $\frac{130}{397} \times 100 = 32.7$

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At the first location, 125 people were asked about a thought and of those, 22.4% responded favourably and at the second location, 37.5% of 272 people responded favourably. What percent of all the people surveyed responded favourably?

At the first location, $125$ people were asked about a thought and of those, $22.4 %$ responded favourably and at the second location, $37.5 %$ of $272$ people responded favourably. What percent of all the people surveyed responded favourably?