Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one-time $20 membership fee and $4 per video stream.

For how many streamed videos do Companies A and B charge the same total amount?

Let *s* represent the number of streamed videos and let *c* be the total amount that a streaming company charges.

Use a system of equations to solve this problem.

What is the solution to the system of equations?

Responses

We are given two companies with different pricing structures:

- Company A charges a one-time membership fee of $40 and $2 per video stream.
- Company B charges a one-time membership fee of $20 and $4 per video stream.

Let:
- $ s $ represent the number of streamed videos.
- $ c $ represent the total cost charged by each company.

### Step 1: Set up the system of equations
For Company A:
\[
c_A = 40 + 2s
\]
For Company B:
\[
c_B = 20 + 4s
\]

We want to find the value of $ s $ (number of streamed videos) when both companies charge the same total amount. Therefore, we set $ c_A = c_B $:
\[
40 + 2s = 20 + 4s
\]

### Step 2: Solve the equation
Now, solve for $ s $:

1. Subtract $ 2s $ from both sides:
\[
40 = 20 + 2s
\]

2. Subtract 20 from both sides:
\[
20 = 2s
\]

3. Divide by 2:
\[
s = 10
\]

### Conclusion
The two companies will charge the same total amount when 10 videos are streamed.

Would you like more details or have any questions?

Here are 5 related questions:
1. How much does each company charge after 10 video streams?
2. For how many videos will Company A be cheaper than Company B?
3. For how many videos will Company B be cheaper than Company A?
4. What is the total cost for 15 streams from each company?
5. How would the system change if Company B charged $3 per stream instead?

**Tip:** When dealing with linear equations, solving for equality (like in this example) often helps identify points of intersection or comparison.

Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one-time $20 membership fee and $4 per video stream. For how many streamed videos do Companies A and B charge the same total amount? Let s represent the number of streamed videos and let c be the total amount that a streaming company charges. Use a system of equations to solve this problem. What is the solution to the system of equations?

Learn how to solve a system of linear equations to find when Video Streaming Company A and Company B charge the same total amount. This problem involves algebraic concepts, such as setting up equations for cost structures and solving for the number of video streams. Suitable for Grades 6-8 students.

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