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.

Question

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

Answer

movies

Answer 1

To find how many movies streamed would result in both streaming plans costing the same amount, let's set up equations based on the given costs of each plan.

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

Cost for Plan A: \[ \text{Cost of Plan A} = 15 + 4x \]

Cost for Plan B: \[ \text{Cost of Plan B} = 9 + 6x \]

Now, we want to find the value of \( x \) that makes the two costs equal:

\[ 15 + 4x = 9 + 6x \]

To solve for \( x \), first, subtract \( 4x \) from both sides:

\[ 15 = 9 + 2x \]

Next, subtract 9 from both sides:

\[ 6 = 2x \]

Now, divide both sides by 2:

\[ x = 3 \]

Thus, both plans would cost the same amount when 3 movies are streamed.

Answer: 3 movies