Solve the problem. -A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 130 square feet. He wants the area planted with tomatoes to be more than 20% of the area planted with cucumbers. Write a system of inequalities to describe the situation. Let x = amount to be planted in tomatoes and Y = amount to be planted in cucumbers. A) $\begin{array}{l} x+y \leq 130 \ x0.20 y \ x \geq 0 \ y \geq 0 \end{array}$ B) $\begin{array}{l} x+y \leq 130 \ x20 y \ x \geq 0 \ y \geq 0 \end{array}$ C) $\begin{array}{l} x+y \leq 130 \ x

Question

Solve the problem.
-A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 130 square feet. He wants the area planted with tomatoes to be more than 20% of the area planted with cucumbers.
Write a system of inequalities to describe the situation. Let x = amount to be planted in tomatoes and
Y = amount to be planted in cucumbers.
A)
$\begin{array}{l}
x+y \leq 130 \
x>0.20 y \
x \geq 0 \
y \geq 0
\end{array}$

B) 
$\begin{array}{l}
x+y \leq 130 \
x>20 y \
x \geq 0 \
y \geq 0
\end{array}$

C) 
$\begin{array}{l}
x+y \leq 130 \
x<0.20 y \
x \geq 0 \
y \geq 0
\end{array}$

D) 
$\begin{array}{l}
x+y=130 \
x \geq 0.20 y \
x \geq 0 \
y \geq 0
\end{array}$

Quizplus · Accepted Answer

The correct system of inequalities includes $x+y \leq 130$ to represent the total area constraint, $x>0.20y$ to ensure the area for tomatoes is more than 20% of the area for cucumbers, and $x \geq 0$ and $y \geq 0$ to ensure non-negative values for both variables.

Solve the Problem x+y≤130x>0.20yx≥0y≥0\begin{array}{l}x+y \leq 130 \\x>0.20 y \\x \geq 0 \\y \geq 0\end{array}x+y≤130x>0.20yx≥0y≥0​

Solve the Problem $\begin{array}{l}x+y \leq 130 \\x>0.20 y \\x \geq 0 \\y \geq 0\end{array}$