Question

A piece of paper measures 8.5 inches by 11 inches. Mrs. Wickowitz wants to hang paper on a bulletin board that has a height of 24 inches and an area of 1,728 square inches. Which inequality best represents the possible whole numbers of papers, p, that Mrs. Wickowitz could hang?

A. p ≤ 12

B. p ≤ 16

C. p ≤ 18

D. p ≤ 24

Please answer quickly!!! Thank you!!!

Answer 1

D

Explanation:

Answer 2

D. p ≤ 24

Explanation:

The area of a piece of paper is 8.5·11 = 93.5 square inches, so the area of the bulletin board is that of ...

1728/93.5 ≈ 18.48

pieces of paper.

The solution is a number greater than 18, so selection D is the only viable choice.

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The bulletin board is 24 inches high and 1728/24 = 72 inches wide. If Mrs. Wickowitz hangs the papers "sideways", then 3 of them will cover 25.5 inches vertically, and 7 of them will cover 77 inches horizontally. That's 3·7 = 21 whole sheets of paper. That, too, matches selection D.