Question

1. every summer, kendra plants a vegetable garden in her yard. last year, she planted 6 rows of tomatoes and 8 rows of peppers. kendra wants to keep the same ratio this year, but she only plans to plant 3 rows of tomatoes. how many rows of peppers will kendra plant this year? \boxed{} rows of peppers

Explanation:

Step1: Define the ratio

Last year, the ratio of tomato rows to pepper rows is \( \frac{6}{8} \).

Step2: Set up the proportion

Let \( x \) be the number of pepper rows this year. The ratio this year should be \( \frac{3}{x} \). Since the ratios are equal, we have \( \frac{6}{8}=\frac{3}{x} \).

Step3: Solve for \( x \)

Cross - multiply: \( 6x = 3\times8 \).
Simplify the right - hand side: \( 6x=24 \).
Divide both sides by 6: \( x=\frac{24}{6}=4 \).

Answer:

4