Question

in a survey, 16% of the people said they live in a city. if 320 people said they live in a city, how many people were surveyed? show your work. ( question 12 )

Answer 1

2000 people were surveyed

Explanation:

This means that 16 percent of the people surveyed = 320 people surveyed. We need to find the total amount of people, right?

Percentages are always out of 100. And let's say that x is the total amount of people surveyed.

16/100 = 320/x. This is the equation we need to solve.

To solve this, we need to find the denominator of 320/x.

The simplest way to do this is to realize that you can multiply 20 by 16 to get to 320.

Since you multiplied 16 by 20, you also need to multiply 16/100's denominator by 20. 100 times 20 equals 2000.

This means that the answer is 2000 people. There were 2000 people surveyed

Answer 2

Answer: choice B) 2,000 people

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Let x be the number of people surveyed. This is simply a placeholder for the number.

16% of x is going to be equal to 320, so we know that 0.16*x = 320. Recall that 16% converts to the decimal form 0.16 after moving the decimal point two spots to the left.

Divide both sides by 0.16 to isolate x fully

0.16*x = 320

0.16*x/0.16 = 320/0.16

x = 2000

Therefore, 2000 people were surveyed