Solve the problem. -A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 140 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) $x + y \leq 140$ $x 0.20 y$ $x \geq 0$ $y \geq 0$ B) $x + y = 140$ $x \geq 0.20 y$ $x \geq 0$ $y \geq 0$ C) $x + y \leq 140$ $0.20 x y$ $x \geq 0$ $y \geq 0$ D) $x + y \leq 140$ $x

Question

Solve the problem.
-A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 140 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) $x + y \leq 140$
$x > 0.20 y$
$x \geq 0$
$y \geq 0$
B) $x + y = 140$
$x \geq 0.20 y$
$x \geq 0$
$y \geq 0$
C) $x + y \leq 140$
$0.20 x > y$
$x \geq 0$
$y \geq 0$
D) $x + y \leq 140$
$x < 0.20 y$
$x \geq 0$
$y \geq 0$

Quizplus · Accepted Answer

We have the constraint x + y ≤ 140 for the available area.
To ensure that the area planted with tomatoes is more than 20% of the area planted with cucumbers, we can write the inequality x > 0.20 y.
Finally, we have the non-negativity constraints x ≥ 0 and y ≥ 0. These constraints form the system of inequalities presented in choice A.

Solve the Problem x+y≤140x + y \leq 140x+y≤140 x>0.20yx > 0.20 yx>0.20y

Solve the Problem $x + y \leq 140$ $x > 0.20 y$