Question

A container must contain at least 40 pounds of potatoes and at least 20 pounds of onions. The combined amounts of potatoes and onions

must be at least 80 pounds but must not exceed 160 pounds.

Let z represent the number of pounds of potatoes and y represent the number of pounds of onions.

Which system of inequalities can be used to find the values of r and y?

(x240

OA

y2 20

x + y s 80

(x + y 2 160

x 540

y s 20

x + y s 80

(x + y 2 160

x 240

y2 20

x + y 2 80

(x + y s 160

OD

x 540

y s 20

x + y 2 80

x + y s 160

Answer 1

The system of inequalities can be used to find the values of x and y is

z ≥ 40

y ≥ 40

x+y ≥ 80

x+y ≤ 160

Explanation:

Let z represent the number of pounds of potatoes and y represent the number of pounds of onions.

In mathematics at least means equal or greater than ,

So applying this property we get

z ≥ 40 → at least 40 pounds of potatoes

y ≥ 40 → at least 20 pounds of onions

x+y ≥ 80 → combined must be at least 80 pounds

x+y ≤ 160 → but must not exceed 160 pounds.

So the correct choice is B