CPM Homework Help : CC1MN Problem 5-8

Now Croakie can do a super high jump!

The first time he performed his new super-high-jump routine, he did three super-high jumps and then hopped five feet. The second time, he did only two super-high jumps and then hopped six feet. Both times, he covered the same distance. His attempts are shown in the diagram at right.

First sequence

A line segment with 4 sections, 3 are equal, each labeled, x, with last section labeled 5.

Second sequence

A line segment with 3 sections, 2 are equal, each labeled, x, with last section labeled 6.

How far does Croakie travel in one super-high jump? Explain or show how you know.
Hint (a):
In Croakie's first attempt he crossed the tightrope like this: $x + x + x + 5 = \text{length of the tightrope}$
More Help 1 (a):
In Croakie's second attempt he crossed the tightrope like this: $x + x + 6 = \text{length of the tightrope}$
More Help 2 (a):
Because both equations are equal to the length of a tightrope, you can make them equal to each other,
like this: $x + x + x + 5 = x + x + 6$
Answer (a):
$1$ foot. Make sure you know how to get this answer.
How long is his whole super-high-jump routine? How can you tell?

Hint (b):
Since you figured out that Croakie's super-high jump ( $x$ ) equals $1$ foot, you can simply substitute $1$ for $x$ into either of his routines.