What is the GREATEST number of pictures each 2.5-inches by 3.5-inches, that a photographer can print on an 8-inch by 10-inch piece of sensitized paper?
Isn't the answer supposed to be 4, because once you cut it you cannot put it back together.
Please tell me how i'm wrong and how to solve it if i'm wrong. Thanks!
long side - 4 * 2.5 = 10
short side - 2 * 3.5 = 7
so 8
You are partially correct that once you cut a piece of paper, you cannot put it back together. However, in this case, we are not cutting the paper into smaller pieces. Instead, we are arranging smaller pictures on a larger piece of paper without cutting it.
To solve this problem, we need to determine how many 2.5-inch by 3.5-inch pictures can fit on the 8-inch by 10-inch piece of paper without overlapping or extending beyond the boundaries.
First, we need to find out how many pictures can fit horizontally (in the width dimension) on the 8-inch side. We divide the width of the large paper (8 inches) by the width of the small picture (2.5 inches):
8 inches / 2.5 inches = 3.2 (approximately)
Since we cannot have a fraction of a picture, we round down to the nearest whole number. This means that we can fit a maximum of 3 pictures horizontally.
Next, we determine how many pictures can fit vertically (in the height dimension) on the 10-inch side. We divide the height of the large paper (10 inches) by the height of the small picture (3.5 inches):
10 inches / 3.5 inches = 2.9 (approximately)
Again, we round down to the nearest whole number. This means that we can fit a maximum of 2 pictures vertically.
Now, we multiply the number of pictures that can fit horizontally by the number of pictures that can fit vertically to get the total number of pictures:
3 pictures horizontally * 2 pictures vertically = 6 pictures
Therefore, the greatest number of 2.5-inch by 3.5-inch pictures that a photographer can print on an 8-inch by 10-inch piece of sensitized paper is 6, not 4 as you initially thought.
I hope this clarifies the problem and helps you understand how to solve it!