Question

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? rows of peppers

Explanation:

Step1: Set up the ratio equation

Let $x$ be the number of rows of peppers this year. The ratio of tomatoes to peppers last year is $\frac{6}{8}$, and this year it is $\frac{3}{x}$. Since the ratios are equal, we have $\frac{6}{8}=\frac{3}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $6x = 3\times8$.

Step3: Simplify the right - hand side

$3\times8=24$, so the equation becomes $6x = 24$.

Step4: Solve for $x$

Dividing both sides of the equation $6x = 24$ by 6, we get $x=\frac{24}{6}=4$.

Answer:

4