travel caroline is taking a road trip on i - 70 in kansas. she stops for gas at mile marker 36. her…

travel caroline is taking a road trip on i - 70 in kansas. she stops for gas at mile marker 36. her destination is at mile marker 353 in topeka, but she decides to stop at an attraction $\frac{3}{4}$ of the way after stopping for gas. at about which mile marker did caroline stop to visit the attraction?

travel caroline is taking a road trip on i - 70 in kansas. she stops for gas at mile marker 36. her destination is at mile marker 353 in topeka, but she decides to stop at an attraction $\frac{3}{4}$ of the way after stopping for gas. at about which mile marker did caroline stop to visit the attraction?

Answer

Explanation:

Step1: Calculate distance from gas - stop to destination

The distance from the gas - stop (mile marker 36) to the destination (mile marker 353) is $353 - 36=317$ miles.

Step2: Calculate distance to the attraction

She stops at an attraction $\frac{3}{4}$ of the way after stopping for gas. So the distance from the gas - stop to the attraction is $\frac{3}{4}\times317 = 237.75$ miles.

Step3: Calculate the mile marker of the attraction

Add the distance from the gas - stop to the attraction to the mile marker of the gas - stop. So the mile marker of the attraction is $36+237.75 = 273.75\approx274$ miles.

Answer:

274