Question

An online content provider offers two streaming plans. Plan A costs $15 per month plus $4 for each movie streamed during that month. Plan B costs $9 per month plus $6 for each movie streamed during that month.

How many movies streamed would result in both plans costing the same amount for that month?

Answer

movies

Answer 1

To find out how many movies streamed would result in both plans costing the same amount, we can set up an equation based on the costs of the two plans.

Let \( m \) be the number of movies streamed in a month.

**Cost of Plan A:**
\[ \text{Cost of Plan A} = 15 + 4m \]

**Cost of Plan B:**
\[ \text{Cost of Plan B} = 9 + 6m \]

We want to find the value of \( m \) where the costs are equal:
\[ 15 + 4m = 9 + 6m \]

Now, we can solve for \( m \):

1. Subtract \( 4m \) from both sides:
\[ 15 = 9 + 2m \]

2. Subtract \( 9 \) from both sides:
\[ 6 = 2m \]

3. Divide both sides by \( 2 \):
\[ m = 3 \]

So, the number of movies streamed that would result in both plans costing the same amount is \( \boxed{3} \) movies.