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Cecelia went on a hiking trip. The first day she walked $27$ kilometers. Each day since, she walked $\frac{2}{3}$ of what she walked the day before. What is the total distance Cecelia has traveled by the end of the $5^{\text{th}}$ day? Round your final answer to the nearest kilometer.

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Circles: word problems

Full solution

Q. Cecelia went on a hiking trip. The first day she walked

27

kilometers. Each day since, she walked

\frac{2}{3}

of what she walked the day before. What is the total distance Cecelia has traveled by the end of the

5^{\text{th}}

day? Round your final answer to the nearest kilometer.

Calculate Day $2$ Distance: Calculate the distance walked on the second day. $\newline$ Cecelia walked $\frac{2}{3}$ of $27$ km on the second day. $\newline$ Calculation: $27 \times \frac{2}{3} = 18$ km.
Calculate Day $3$ Distance: Calculate the distance walked on the third day. $\newline$ On the third day, she walked $\frac{2}{3}$ of what she walked on the second day. $\newline$ Calculation: $18 \times \frac{2}{3} = 12$ km.
Calculate Day $4$ Distance: Calculate the distance walked on the fourth day. $\newline$ On the fourth day, she walked $\frac{2}{3}$ of what she walked on the third day. $\newline$ Calculation: $12 \times \frac{2}{3} = 8$ km.
Calculate Day $5$ Distance: Calculate the distance walked on the fifth day. $\newline$ On the fifth day, she walked $\frac{2}{3}$ of what she walked on the fourth day. $\newline$ Calculation: $8 \times \frac{2}{3} = 5.333$ km, round to $5$ km.
Calculate Total Distance: Calculate the total distance walked over the five days. $\newline$ Add up all the distances from day one to day five. $\newline$ Calculation: $27 + 18 + 12 + 8 + 5 = 70$ km.

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