  ### Home > MC1 > Chapter 4 > Lesson 4.1.3 > Problem4-32

4-32.

Each of the diagrams below represents a sequence for an acrobat on a tightrope. Each letter represents the unknown length of a trick. For each part below, figure out how far the acrobat travels during each trick (that is, the length represented by each letter). Show how you know.

1. Find $x$. If $x + 7 + x$ is the same as $13$, can you think of a way to find the value of $x$?

To find the value of both $x$'s combined, we can subtract $7$ from $13$.
$13 − 7 = 6$

Now you know that two $x$'s are equal to $6$. Can you find the value of one $x$?

1. Find $j$. Do you think you can use a similar strategy as in part (a)? Remember, try to find the value of just one j.

$27$ is the same as $j + j + 15 + j$. Can you find the value of $j$?

$j = 4$. Remember to show how you know!

1. Find $n$. Remember that $6 + 6 + 6 + 6$ is the same as $6\left(4\right)$. This simplification should make finding $n$ easier.

If two $n$'s equal $20$, how much is one $n$?