Math  /  Algebra

Question1. When Cal jumps 3 times and takes 6 steps forward, he lands in the same place as when he jumps 4 times and takes 2 steps backward. How long is Cal's jump in steps?

Studdy Solution

STEP 1

1. Cal's jump length in steps is consistent each time he jumps.
2. Cal's forward steps and backward steps are of equal length.
3. We are tasked with finding the length of Cal's jump in terms of steps.

STEP 2

1. Define variables for the unknowns.
2. Set up an equation based on the problem statement.
3. Solve the equation for the unknown variable.

STEP 3

Define variables for the unknowns.
Let j j represent the length of Cal's jump in steps.

STEP 4

Set up an equation based on the problem statement.
According to the problem, when Cal jumps 3 times and takes 6 steps forward, he lands in the same place as when he jumps 4 times and takes 2 steps backward.
This can be expressed as:
3j+6=4j2 3j + 6 = 4j - 2

STEP 5

Solve the equation for the unknown variable.
First, isolate the variable terms by subtracting 3j 3j from both sides:
6=j2 6 = j - 2
Next, add 2 to both sides to solve for j j :
6+2=j 6 + 2 = j j=8 j = 8
The length of Cal's jump in steps is:
8 \boxed{8}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord