A car salesperson, Lee, earns 1% of the purchase price of every car he sells. A typical car at his company sells for $20,000. This equation helps determine how many cars Lee must sell each month to earn $4,000 per month: ﻿20 comma 000 cross times 0.01 cross times y equals 4 comma 000﻿



What is y?

The equation given is:

\[
20{,}000 \times 0.01 \times y = 4{,}000
\]

This equation represents how many cars $ y $ Lee needs to sell to earn $4,000 in a month.

To solve for $ y $, follow these steps:

1. **Simplify the left side:**
   \[
   20{,}000 \times 0.01 = 200
   \]
   So the equation becomes:
   \[
   200 \times y = 4{,}000
   \]

2. **Solve for $ y $:**
   \[
   y = \frac{4{,}000}{200} = 20
   \]

**Thus, $ y = 20 $.**

This means Lee must sell 20 cars each month to earn $4,000.

Would you like further details on this calculation or have any other questions?

Here are five related questions:
1. How much would Lee earn if he sold 25 cars in a month?
2. What is the minimum number of cars Lee must sell to earn $5,000 in a month?
3. If the commission rate increased to 1.5%, how many cars would Lee need to sell to earn $4,000?
4. How much would Lee earn if he sold 15 cars in a month?
5. What would be Lee's earnings if each car sold for $25,000 instead of $20,000?

**Tip:** When solving equations involving percentages, it's helpful to first convert the percentage to a decimal (e.g., 1% becomes 0.01) to simplify the calculations.

Learn how to calculate the number of cars Lee needs to sell to earn $4,000 per month with a detailed step-by-step solution. This problem involves percentages and multiplication, suitable for students in Grades 6-8.

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