Question

At a scrapbooking party, guests brought a certain number of photographs to use, based on

Answer 1

Answer:

A small page can fit 2 photographs, and a large on can fit 2 photographs.

Step-by-step explanation:

Let the number of photographs on the small page be represented by m and that of large one by n.

Since the number of photographs on a page remains constant, then;

4m + 7n = 22 ........... 1

8m + 7n = 30 .......... 2

Multiply equation 1 by 2, and 2 by 1 to have;

8m + 14n = 44 ....... 3

8m + 7n = 30 ......... 4

subtract equation 4 from 3,

7n = 14

n = 2

Substitute the value of n in equation 1

4m + 7(2) = 22

4m + 14 = 22

4m = 8

m = 2

m = 2, n = 2

Therefore, a small page can fit 2 photographs, and a large on can fit 2 photographs so that the number of photographs n a page is constant.