Sarah is making poster by hand to advertise her school play, but her posters are not the same length as a standand sheet of paper (the width is the same, though). She has three and a half sheets of paper left over, which she says is enough to make two and one third posters. How many sheets of paper (and parts of a sheet) does each poster use?

(3 1/2) / (2 1/3)

(7/2) / (7/3) = 3/2 = 1 1/2

One side of a rectangular garden is to be against the house. There are 80 meters of fencing material available to enclose the other three sides of the garden. Find the dimensions that will give the maximum area.

Let's assume that each poster uses "x" sheets of paper (and parts of a sheet).

According to the given information, Sarah has three and a half sheets of paper left over, which is enough to make two and one third posters.

So we can set up the following equation:

3.5 = (2 + 1/3) * x

To eliminate the fractions, let's convert 1/3 into its decimal equivalent:

3.5 = (2 + 0.33) * x

Now, simplify the equation:

3.5 = 2.33x

To solve for "x," divide both sides of the equation by 2.33:

3.5 / 2.33 = x

x ≈ 1.5

Therefore, each poster uses approximately 1.5 sheets of paper (and parts of a sheet).

To solve this problem, we need to determine how many sheets of paper are used for each poster.

Let's first break down the given information:
- Sarah has three and a half sheets of paper left over, which is equivalent to 3 + 1/2 = 7/2 sheets of paper.
- Sarah says that this amount of paper is enough to make two and one third posters.

Now, let's work on finding out how many sheets of paper are needed for one poster:

Let's assume x represents the number of sheets of paper needed for one poster.

According to the given information, we have:
7/2 sheets of paper = 2 and 1/3 posters
This can be written as:
7/2 = 2 + 1/3
To make the denominators the same, we convert 2 to have the same denominator as 3:
7/2 = 6/3 + 1/3
Combining the fractions:
7/2 = (6 + 1)/3
7/2 = 7/3

Now, we can set up a proportion to solve for x:
7/2 sheets of paper is equivalent to x posters.

This can be written as:
7/2 = x/1

To solve for x, we cross-multiply:
2 * x = 1 * 7
2x = 7
Divide both sides by 2 to isolate x:
x = 7/2

Hence, each poster uses 7/2 sheets of paper, or 3.5 sheets of paper (since 1/2 is equal to 0.5).

Therefore, each poster requires 3.5 sheets of paper or 3 sheets and a half (1/2) of a sheet.