Question

A page in a photo album is 10inches wide by 12 inches tall. There is a 1-inch

margin around the page that cannot be used for pictures. The space between each
picture is at least 1/2 - inch. How many 3-inch tall pictures can you fit on the page in
one column? Use a diagram to help you solve the problem
10.

Answer 1

3

Explanation:

The diagram shows the answer: 3 pictures will fit vertically.

You can solve this algebraically as well. For n pictures, there will be n-1 spaces, so the total height of the page must satisfy ...

1 + 3n + 1/2(n -1) + 1 ≤ 12

3.5n + 1.5 ≤ 12 . . . . . . . . . . . simplify

3.5n ≤ 10.5 . . . . . . . . . . . . . .subtract 1.5

n ≤ 3 . . . . . . . . . . . . . . . . . . . divide by 3.5

Up to 3 pictures will fit in a column.