High School

A clown traveled 318 miles farther than a trapeze artist to get to the circus. The trapeze artist traveled one third as far as the clown. How far did each travel to get to the circus?

Answer :

Final answer:

To solve this problem, we set up an equation where x indicates the trapeze artist's distance. We find that the trapeze artist travelled 159 miles while the clown travelled 477 miles.

Explanation:

This question involves an application of basic algebra. Let's denote the distance that the trapeze artist travelled as x miles.

Therefore, the clown, who travelled 318 miles further than the trapeze artist, journeyed x + 318 miles.

However, the problem also states that the trapeze artist only went one third as far as the clown, so we can also say x = (x + 318) / 3.

Solving this equation for x, we find that the trapeze artist travelled 159 miles, and the clown went 159 + 318 = 477 miles to get to the circus.

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