What is the greatest number of pictures each 2.5 and 3.5 inches that a photographer can print on an 8 inch by 10 inch paper?

10/2.5 = 4

8 / 3.5 = 2

2 * 4 = 8

Ms. Sue, why couldn't you divide 10/3.5 and 8/2.5 instead?

I could have divided that way. How many pictures would we get if I did?

6 right?

Yes.

To determine the greatest number of pictures that can be printed on an 8 inch by 10 inch paper, we need to consider the dimensions of both the pictures and the paper.

First, let's find the maximum number of 2.5-inch pictures that can fit on the width (8 inches) of the paper. We can divide the width of the paper by the width of each picture:
8 inches ÷ 2.5 inches ≈ 3.2

Since we cannot have a fraction of a picture, we must round down to the nearest whole number. Therefore, the maximum number of 2.5-inch pictures that can fit on the width is 3.

Next, let's find the maximum number of 3.5-inch pictures that can fit on the length (10 inches) of the paper. We can divide the length of the paper by the length of each picture:
10 inches ÷ 3.5 inches ≈ 2.86

Again, we round down to the nearest whole number. Therefore, the maximum number of 3.5-inch pictures that can fit on the length is 2.

To find the total number of pictures, we multiply the number of pictures along the width by the number of pictures along the length:
3 (width) × 2 (length) = 6

Hence, the photographer can print a maximum of 6 pictures, either 2.5 or 3.5 inches, on an 8 inch by 10 inch paper.