olve the problem 48 A man is planting a section of garden wi

olve the problem. 48) A man is planting a section of garden with tomatoes and cucumbers. The available area of the 48) section is 110 square feet. He wants the area planted with tomatoes to be more than 35% 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 110 B) x y s 110 C) x y s 110 D) x y s 110 x 0.35y 0.35x y x 0.35y x 0.35y X20 x 20 x 20 x 20 y 20 y 20 y 20 y 20

Solution

x is the area planted with tomatoes and y is the area planted with cucumbers. The total area of the section is 110 sq. ft. Therefore, x + y 110...,,(1) . also, since the area planted with tomatoes is more than 35 % of the area planted with cucumbers, we fhave x > y * 35 % or, x >  0.35y ...(2) Also, obviously x 0 and y 0 as neither of x and y can be negatiove. Therefore, the required system of inequalities is  x + y 110 ; x > 0.35y ; x 0 and y 0 . Thus, the correct answer is C.