CPM Homework Help : MC1 Problem 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.

Find $x$ .

Hint (a):
If $x + 7 + x$ is the same as $13$ , can you think of a way to find the value of $x$ ?
Step 1(a):
To find the value of both $x$ 's combined, we can subtract $7$ from $13$ .
$13 − 7 = 6$
Step 2(a):
Now you know that two $x$ 's are equal to $6$ . Can you find the value of one $x$ ?

Find $j$ .

Hint (b):
Do you think you can use a similar strategy as in part (a)? Remember, try to find the value of just one j.
More Help (b):
$27$ is the same as $j + j + 15 + j$ . Can you find the value of $j$ ?
Answer (b):
$j = 4$ . Remember to show how you know!

Find $n$ .

Hint (c):
Remember that $6 + 6 + 6 + 6$ is the same as $6\left(4\right)$ . This simplification should make finding $n$ easier.
More Help (c):
If two $n$ 's equal $20$ , how much is one $n$ ?