Question

In 2001, people in some counties of Indiana did not set clocks forward in the spring to use daylight saving time. There are 92 counties in the state. Of those, 77 counties used eastern time without daylight saving. Five counties used eastern time with daylight saving. Ten counties were on central time with daylight saving. About what percent of Indiana's counties did not use daylight saving time?

Solution

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n100=779292n=7700n=83.784%\dfrac{n}{100}=\dfrac{77}{92} \\\\ 92n=7700 \\ n=83.7\approx84\%

To find the percent, we need to set up a proportion by putting the part (number of counties without daylight savings) over the whole (total number of counties). Then, we can solve by cross multiplying and dividing both sides by 9292.

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