Ms. Rodriguez is laying tiles in her kitchen. She used 15 tiles to cover 20 square feet. At this rate, how many tiles are needed to cover 50 square feet?

To solve this, we can set up a proportion based on the given information. Here's the step-by-step process:

1. Ms. Rodriguez used 15 tiles to cover 20 square feet.
2. We need to find the number of tiles (let's call this \( x \)) required to cover 50 square feet.

We can set up the proportion as:

\[
\frac{15 \, \text{tiles}}{20 \, \text{square feet}} = \frac{x \, \text{tiles}}{50 \, \text{square feet}}
\]

Now, we solve for \( x \):

\[
\frac{15}{20} = \frac{x}{50}
\]

Cross-multiply:

\[
15 \times 50 = 20 \times x
\]

\[
750 = 20x
\]

Now, solve for \( x \):

\[
x = \frac{750}{20} = 37.5
\]

Since the number of tiles must be a whole number, Ms. Rodriguez will need **38 tiles** to cover 50 square feet.

Would you like further clarification or more details?

Here are 5 related questions:

1. If Ms. Rodriguez used 25 tiles, how much area did she cover?
2. What is the area covered by one tile?
3. How many square feet would 100 tiles cover?
4. If she covers 60 square feet, how many tiles will she need?
5. What if she wanted to use fewer tiles per square foot? How would that change the outcome?

**Tip:** When dealing with proportions, always make sure your units match before setting up the equation.

Learn how to calculate the number of tiles needed to cover 50 square feet using proportions. This problem involves converting units and solving a simple proportion equation. Suitable for students in Grades 6-8.

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