Emily subscribes to an online learning platform for $15 per month, which allows her to purchase courses at a discounted rate of $5 per course. The equation

represents the total amount Emily spends each month on learning, where x represents the number of courses she buys. If Emily spent $60 in August on courses, then she purchased
courses that month.

1 answer

To calculate the number of courses Emily purchased in August, we will first establish the equation that represents her total monthly spending.

Emily's total spending on the learning platform can be expressed as:

\[ \text{Total Cost} = \text{Monthly Subscription} + (\text{Cost per Course} \times \text{Number of Courses}) \]

Given:

  • Monthly Subscription = $15
  • Cost per Course = $5
  • Total Cost in August = $60

Let \( x \) represent the number of courses she buys. The equation can be set up as follows:

\[ 60 = 15 + 5x \]

Now, we will solve for \( x \):

  1. Subtract the monthly subscription from both sides:

\[ 60 - 15 = 5x \]

\[ 45 = 5x \]

  1. Now, divide both sides by 5 to find \( x \):

\[ x = \frac{45}{5} = 9 \]

Thus, Emily purchased 9 courses in August.