Question

A certain blueprint shows two fences. Fence A 1 1/5 yards long but is 1 4/5 inches long on the blueprint. If fence B is 6 yards long how long of fence B on blueprint?

Answer 1

Since the actual length of Fence A is 1 1/5 yards

Since its length on the blueprint is 1 4/5 inches

Since the actual length of the Fence, B is 6 yards

Then we will use the ratio method to find its length in the blueprint

`\begin{gathered} A=1(1)/(5)=(1*5+1)/(5)=(6)/(5)\text{yards} \\ A=1(4)/(5)=(1*5+4)/(5)=(9)/(5)\text{inches} \end{gathered}`

Then by using the ratio method

`\begin{gathered} A\colon B \\ (6)/(5)\colon6 \\ (9)/(5)\colon x \end{gathered}`

By using the cross multiplication

`\begin{gathered} (6)/(5)* x=(9)/(5)*6 \\ (6)/(5)x=(54)/(5) \end{gathered}`

Divide both sides by 6/5 to find x

`\begin{gathered} ((6)/(5))/((6)/(5))x=((54)/(5))/((6)/(5)) \\ x=9 \end{gathered}`

Fence B is 9 inches in the blueprint