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On July 4 weekend, 180 people hiked on the trails near Lotus Lake. Of these,
(1)/(3) camped overnight. How many of the hikers did not camp overnight?

On July $4$ weekend, $180$ people hiked on the trails near Lotus Lake. Of these, $\frac{1}{3}$ camped overnight. How many of the hikers did not camp overnight? $\newline$

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Solve proportions: word problems

Full solution

Q. On July

4

weekend,

180

people hiked on the trails near Lotus Lake. Of these,

\frac{1}{3}

camped overnight. How many of the hikers did not camp overnight?

\newline

Determine number of campers: Determine the number of people who camped overnight. $\newline$ We know that $\frac{1}{3}$ of the $180$ people camped overnight. To find this number, we multiply $180$ by $\frac{1}{3}$ . $\newline$ Calculation: $180 \times \left(\frac{1}{3}\right) = 60$
Calculate non-campers: Calculate the number of people who did not camp overnight. $\newline$ Since $60$ people camped overnight, the rest did not. To find this number, we subtract the number of people who camped from the total number of hikers. $\newline$ Calculation: $180 - 60 = 120$

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