SOLUTION: FOOD: ----------- -------- restaurant choices: - other = 9% - Chinese = 21% - Italian = 29% - American = 41% ----------- ------- A sample of students was asked what type

Question 242948: FOOD:
--------------------
restaurant choices:
- other = 9%
- Chinese = 21%
- Italian = 29%
- American = 41%
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A sample of students was asked what type of restaurant they visited most often. Their answers are shown on the circle graph. If 126 students chose Chinese restaurants, how many students were polled?
(Can you show me how to figure it out step by step please. And use fractions and exponents. Please and thank you.)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember that a percentage is simply a fraction out of a hundred. For example, 50% is the fraction (ie there are 50 cases out of 100).

In this case, the figure 21% (the percentage for those who chose Chinese restaurants) can be represented as the fraction . It turns out that if you multiply that fraction by the total amount of people (which for now we'll call 'x'), we'll get those 126 students. In other words,

Start with the given equation.

Multiply both sides by 100.

Multiply and simplify

Divide both sides by 21 to isolate 'x'.

Divide and simplify.

So the solution is which means that 600 students total were polled.
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