Elijah made a scale drawing of a restaurant. A table in the restaurant, which is 10 feet long in real life, is 28 inches long in the drawing. What scale did Elijah use for the drawing?

To determine the scale Elijah used for his drawing, we can follow these steps:

1. **Convert the real-life table length to inches** since the drawing measurement is given in inches:
   - 1 foot = 12 inches, so 10 feet = \(10 \times 12 = 120\) inches.

2. **Set up a ratio** comparing the drawing length to the real-life length:
   - The table in the drawing is 28 inches, and the actual table is 120 inches.

   So, the scale ratio is:
   \[
   \text{Scale} = \frac{28 \, \text{inches (drawing)}}{120 \, \text{inches (real life)}}
   \]

3. **Simplify the ratio**:
   \[
   \frac{28}{120} = \frac{7}{30}
   \]

   Therefore, the scale Elijah used for the drawing is **7:30**.

This means that every 7 units on the drawing correspond to 30 units in real life.

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Would you like a more detailed explanation or have any questions? Here are 5 related questions for practice:

1. If another table is 15 feet long in real life, how long would it be in the drawing?
2. What is the scale factor if a 40-foot room is drawn as 14 inches?
3. How would you convert a scale of 1:40 to a decimal?
4. How many inches in real life would a 5-inch table on the drawing represent?
5. If the drawing scale was 1:20, how long would the table be in the drawing?

**Tip:** Always keep units consistent when working with scale problems (e.g., convert feet to inches or vice versa).

Elijah made a scale drawing of a restaurant. A table in the restaurant, which is 10 feet long in real life, is 28 inches long in the drawing. What scale did Elijah use for the drawing?

Learn how to calculate the scale Elijah used for his drawing of a restaurant table. This problem covers key concepts such as ratios, scale drawings, and unit conversion from feet to inches. The solution includes a simplified ratio of 7:30, showing that every 7 units on the drawing represent 30 units in real life. Suitable for students in Grades 6-8.

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