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A dowelling rod has length 150cm.It is cut into pieces of length 1 1/4 cm.How many such pieces can be cut from the original rod?

Working please

 May 15, 2014

Best Answer 

 #2
avatar+20831 
+5

$$\\\left(
\frac
{
150
\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m
}
{
1\;rod
}
\right)*
\left( \frac{1\;piece
}
{1\frac{1}{4}\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m} \right)=
\frac{150}{\frac{5}{4}}\;\frac{piece}{rod}=\frac{150*4}{5}\;\frac{piece}{rod}=
30*4\;\frac{piece}{rod}=120\;\frac{piece}{rod}
\\\\
\Rightarrow 120\;\mbox{pieces per one rod}$$

\\\left(
\frac
{
150
\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m
}
{
1\;rod
}
\right)*
\left( \frac{1\;piece
}
{1\frac{1}{4}\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m} \right)=
\frac{150}{\frac{5}{4}}\;\frac{piece}{rod}=\frac{150*4}{5}\;\frac{piece}{rod}=
30*4\;\frac{piece}{rod}=120\;\frac{piece}{rod}
\\\\
\Rightarrow  120\;\mbox{pieces per one rod}

 May 16, 2014
 #1
avatar
+5

1 1/4  = 1.25

150cm/1.25=120 pieces

 May 15, 2014
 #2
avatar+20831 
+5
Best Answer

$$\\\left(
\frac
{
150
\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m
}
{
1\;rod
}
\right)*
\left( \frac{1\;piece
}
{1\frac{1}{4}\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m} \right)=
\frac{150}{\frac{5}{4}}\;\frac{piece}{rod}=\frac{150*4}{5}\;\frac{piece}{rod}=
30*4\;\frac{piece}{rod}=120\;\frac{piece}{rod}
\\\\
\Rightarrow 120\;\mbox{pieces per one rod}$$

\\\left(
\frac
{
150
\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m
}
{
1\;rod
}
\right)*
\left( \frac{1\;piece
}
{1\frac{1}{4}\;\textcolor[rgb]{1,0,0}{\not}c\textcolor[rgb]{1,0,0}{\not}m} \right)=
\frac{150}{\frac{5}{4}}\;\frac{piece}{rod}=\frac{150*4}{5}\;\frac{piece}{rod}=
30*4\;\frac{piece}{rod}=120\;\frac{piece}{rod}
\\\\
\Rightarrow  120\;\mbox{pieces per one rod}

heureka May 16, 2014
 #3
avatar+95179 
0

Thanks anonymous and Heureka!

 May 16, 2014

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