MATH SOLVE

3 months ago

Q:
# Mr. Hinckley owns 83 acres of land. He divides the land into eight equal sections to sell to eight buyers. Which phrase describes how much land, in acres, each buyer will receive? A. more than 9 and less than 10 B. more than 10 and less than 11 C. more than 11 and less than 12 D. more than 12 and less than 13

Accepted Solution

A:

let the number of acres each buyer receives be x:

thus

thus total amount of land for 8 buyers will be:

8×x≤83

8x≤83

x≤10.375

this implies that each piece will be:

(10≤x≤11)

thus the answer is:

B. more than 10 and less than 11

thus

thus total amount of land for 8 buyers will be:

8×x≤83

8x≤83

x≤10.375

this implies that each piece will be:

(10≤x≤11)

thus the answer is:

B. more than 10 and less than 11