Question

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 she spends each month, where x represents the number of courses she buys If she spent $60 in August on courses then she purchased ___ courses that month

Answer 1

To represent the total amount Emily spends each month, we can use the equation:

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

Given that the subscription fee is $15 per month, the cost per course is $5, and \( x \) represents the number of courses she buys, the equation becomes:

\[ \text{Total Cost} = 15 + 5x \]

If Emily spent $60 in August, we can set up the equation:

\[ 15 + 5x = 60 \]

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

1. Subtract 15 from both sides:

\[ 5x = 60 - 15 \]

\[ 5x = 45 \]

2. Divide both sides by 5:

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

\[ x = 9 \]

So, if she spent $60 in August on courses, then she purchased **9 courses** that month.