Cell Phone Plan A charges $25 per month plus $10 per gigabyte of data. Cell Phone Plan B charges $50 per month plus $5 per gigabyte of data. What number of gigabytes of data results in the same cost for one month?

Let $ x $ represent the number of gigabytes of data used in one month.

### Plan A:
- Monthly cost: $25
- Data cost per gigabyte: $10
The total cost for Plan A is:
\[
\text{Cost of Plan A} = 25 + 10x
\]

### Plan B:
- Monthly cost: $50
- Data cost per gigabyte: $5
The total cost for Plan B is:
\[
\text{Cost of Plan B} = 50 + 5x
\]

We want to find the number of gigabytes, $ x $, for which the cost of both plans is equal. So, we set the two cost equations equal to each other:
\[
25 + 10x = 50 + 5x
\]

### Solve for $ x $:
1. Subtract $ 5x $ from both sides:
\[
25 + 5x = 50
\]
2. Subtract 25 from both sides:
\[
5x = 25
\]
3. Divide by 5:
\[
x = 5
\]

So, **5 gigabytes** of data will result in the same cost for both plans.

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. How much does each plan cost for 10 gigabytes of data?
2. At what number of gigabytes does Plan A become more expensive than Plan B?
3. If I use 3 gigabytes, which plan is cheaper?
4. How would the comparison change if Plan B charged $7 per gigabyte instead of $5?
5. What is the total cost for 15 gigabytes of data in each plan?

**Tip:** Always set up equations for both plans when comparing, and solve them algebraically to find the breakeven point!

Find out how to determine the number of gigabytes that make Cell Phone Plan A and Plan B cost the same. Learn how to set up and solve linear equations based on monthly and per-gigabyte charges. Suitable for students in Grades 6-8.

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