Question

11. You want to tape five posters on a wall so that the spaces between posters are the same. You alsowant the spaces at the left and right of the group of posters to be three times the space between anytwo adjacent posters. The wall is 15 feet wide and the posters are 1.5 feet wide.a. Draw a diagram that represents theb. Write and solve an equation to find howsituation.to position the posters.

Answer 1

Let's use the variable x to represent the spaces between posters.

So the spaces at the left and right of the group will be 3x.

Drawing the diagram, we have:

Writing an equation to solve for x, we have:

`\begin{gathered} 3x+3x+1.5+1.5+1.5+1.5+1.5+x+x+x+x=15 \\ 6x+7.5+4x=15 \\ 10x+7.5=15 \\ 10x=15-7.5 \\ 10x=7.5 \\ x=(7.5)/(10) \\ x=0.75 \end{gathered}`

So the space between each pair of posters is 0.75 feet.