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A fourth of 10 centimeters on a map represents 150 meters. The distance on the map from Springfield to Oakwood is 1.5 of 10 centimeters. how many meters from Springfield to Oakwood

User Ragav
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1 Answer

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Step 1: Express the statement: a fourth of 10 centimeters mathematically


(1)/(4)*10\operatorname{cm}\Rightarrow(10)/(4)cm\Rightarrow2.5\operatorname{cm}

Step 2: Write the map distance equivalence


\text{2}.5\operatorname{cm}=150m\text{ on map}

Step 3: The distance on the map from Springfield to Oakwood is 1.5 of 10 centimeters, this can be expressed as;


\begin{gathered} 1.5\text{ of 10cm} \\ (3)/(2)*10\operatorname{cm}=(30)/(2)cm=15\operatorname{cm} \end{gathered}

Step 4: find the distance in meters from Springfield to Oakwood


\begin{gathered} 2.5\operatorname{cm}=150m \\ 1\operatorname{cm}=xm \\ xm=\frac{150m*1\operatorname{cm}}{2.5\operatorname{cm}} \\ xm=60m \\ 1\operatorname{cm}=60m \end{gathered}
\begin{gathered} \text{The distance on map will be} \\ 15*60=900m \end{gathered}

Hence, the distance in meters from Springfield to Oakwood is 900meters

User JakeB
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