A plumber has 12 - ft piece of pvc pipe. He needs to cut the pipe into sections 2/15 ft long. How many sections will he be able to cut from pipe

Respuesta :

The total length of the pipe is

[tex]=12ft[/tex]

The length of each section is

[tex]=\frac{2}{15}ft[/tex]

Let the number of sections be represented as

[tex]=x[/tex]

Step 1:The number of sections can be calculated using the formula below

[tex]\text{each length of section = }\frac{\text{total length}}{\text{Number of section}}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} \text{each length of section = }\frac{\text{total length}}{\text{Number of section}} \\ \frac{2}{15}=\frac{12}{x} \end{gathered}[/tex]

Step 2: Cross multiply

[tex]\begin{gathered} \frac{2}{15}=\frac{12}{x} \\ 2\times x=15\times12 \\ 2x=180 \end{gathered}[/tex]

Step 3: Divide both sides by 2

[tex]\begin{gathered} 2x=180 \\ \frac{2x}{2}=\frac{180}{2} \\ x=90\text{ } \end{gathered}[/tex]

Therefore,

The number of sections he will be able to cut from the pipe = 90