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

Question

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.
y=15x+5
15y=5x
y=15+5x
15=5x+y
10
6
4
9

Answer 1

To find out how many courses Emily purchased in August, let's first establish the equation correctly that represents her total monthly spending.

Emily's monthly spending can be represented by the equation:

\[ \text{Total Spending} = \text{Subscription Fee} + \text{Cost of Courses} \]

Given:

• Subscription fee = $15
• Cost per course = $5
• Let \(x\) be the number of courses purchased.

Therefore, the equation for her total spending, \(y\), can be written as:

\[ y = 15 + 5x \]

We know from the problem that Emily spent $60 in August. Therefore, we set \(y = 60\) and solve for \(x\):

\[ 60 = 15 + 5x \]

Now, subtract 15 from both sides:

\[ 60 - 15 = 5x \]

\[ 45 = 5x \]

Now, divide both sides by 5 to solve for \(x\):

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

So, Emily purchased 9 courses in August.