the ratio of oblong tables to round tables at a conference is 4:1. The total number of tables at the conference is 30. How many of each type are there?

Let the number of oblong tables be \( x \), and the number of round tables be \( y \). 

We know the ratio of oblong tables to round tables is 4:1, which can be expressed as:

\[
\frac{x}{y} = \frac{4}{1}
\]

This means that \( x = 4y \). 

We also know the total number of tables is 30:

\[
x + y = 30
\]

Substitute \( x = 4y \) into the equation:

\[
4y + y = 30
\]

\[
5y = 30
\]

Solve for \( y \):

\[
y = \frac{30}{5} = 6
\]

Now, substitute \( y = 6 \) back into \( x = 4y \):

\[
x = 4 \times 6 = 24
\]

Thus, there are **24 oblong tables** and **6 round tables**.

Would you like more details or have any questions?

Here are some related questions:
1. What if the ratio was 3:2 and the total number of tables was 40?
2. How would the solution change if there were 35 tables instead of 30?
3. What is the percentage of oblong tables in the total?
4. How can you express the number of round tables in terms of total tables and the ratio?
5. What is the general formula for calculating the number of tables when given a ratio and a total?

**Tip:** When solving ratio problems, always express the ratio as an equation for easier substitution.

The ratio of oblong tables to round tables at a conference is 4:1. The total number of tables at the conference is 30. How many of each type are there?

Learn how to solve a ratio problem involving oblong and round tables with a total of 30 tables. Understand key mathematical concepts like ratios and linear equations to find that there are 24 oblong tables and 6 round tables. Suitable for students in Grades 5-7.

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