Question

Maureen is making a 3/10 scale drawing of a doll house if a line on the drawing represents 15 inches how long should the line be ?

Answer 1

We have the following ratio scale:

`\frac{\text{REAL}}{\text{DRAWING}}=(10)/(3)`

If we move the DRAWING term to the rght hand side, we get

`\text{REAL}=(10)/(3)\cdot\text{DRAWING}`

In our case, the line is 15 inches long, then we have

`\text{REAL}=(10)/(3)\cdot(15\text{inches)}`

which gives

`\begin{gathered} \text{REAL}=(10*15)/(3)\text{ inches} \\ \text{REAL}=10*5\text{ inches} \\ \text{REAL}=50\text{ inches} \end{gathered}`

Therefore, the answer is 50 inches.