Joy plants three rows of corn in her garden. The row on the south edge of the garden receives more sunlight than the row on north edge of the garden. Therefore, the corn on the north edge the south edge of the garden is `30%` shorter than that on the south. If the corn on the south edge of the garden is 50 inches tall, how tall is the corn on the north edge of the garden , in inches?

Options

A. `30`
B. `33`
C. `35`
D. `65`

Answer

To find the height of the corn on the north edge of the garden, we can follow these steps:

1. **Understand the relationship between the heights of the corn on the south and north edges.**
The corn on the north edge is 30% shorter than that on the south edge.

2. **Define the height of the corn on the south edge.**
It is given that the corn on the south edge is 50 inches tall. Let's denote the height of the corn on the south edge as \( S \).
Thus, \( S = 50 \) inches.

3. **Calculate the height of the corn on the north edge.**
Since the corn on the north edge is 30% shorter, we can express the height of the corn on the north edge \( N \) as:
\[ N = S - 0.30 \times S \]
This can be simplified to:
\[ N = S \times (1 - 0.30) = S \times 0.70 \]

4. **Substitute the value of \( S \) into the equation.**
Now substituting \( S = 50 \) inches into the equation:
\[ N = 50 \times 0.70 \]

5. **Perform the multiplication.**
\[ N = 35 \text{ inches} \]

Thus, the height of the corn on the north edge of the garden is **35 inches**.