The sales of new cars at a dealership increased by 4% this year to 500. Find the number of sales the previous year.


Let the number of car sales in the previous year be \( x \).

According to the problem, sales increased by 4% this year to 500. Therefore, this year's sales can be written as:

\[
x + 0.04x = 500
\]

Factoring out \( x \):

\[
1.04x = 500
\]

To find \( x \), divide both sides by 1.04:

\[
x = \frac{500}{1.04} = 480.77
\]

Since the number of car sales must be a whole number, we round it to 481.

Thus, the dealership sold approximately **481 cars** last year.

Would you like further clarification on any part of this?

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Here are 5 related questions you might consider:
1. If the sales increased by 6% next year, what would the expected number of sales be?
2. How would a 10% decrease in sales next year affect the total?
3. If the dealership aimed for 600 sales next year, by what percentage must sales increase?
4. What would the new sales figure be if the original increase was 5% instead of 4%?
5. How many cars would the dealership have sold after two consecutive 4% increases?

**Tip:** When dealing with percentage increases or decreases, always represent the percentage as a decimal (e.g., 4% = 0.04) to simplify calculations.

The sales of new cars at a dealership increased by 4% this year to 500. Find the number of sales the previous year.

Find out how to calculate the number of car sales in the previous year when sales increased by 4% to 500 this year. This step-by-step solution covers basic algebra and percentage increase calculations, making it ideal for students in Grades 6-8.

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