asked 1.3k views
4 votes
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

asked
User Jroonk
by
8.6k points

1 Answer

3 votes

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

answered
User Robert Fricke
by
8.1k points
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