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Owen made a scale drawing of a city. In real life, a neighborhood park is $170$ yards long. It is $17$ inches long in the drawing. What scale did Owen use for the drawing? $\newline$ $1$ inch : $\_\_\_$ yards

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Scale drawings: word problems

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Q. Owen made a scale drawing of a city. In real life, a neighborhood park is

170

yards long. It is

17

inches long in the drawing. What scale did Owen use for the drawing?

\newline

1

inch :

\_\_\_

yards

Given Information: We have: $\newline$ Length of the park in real life = $170$ yards $\newline$ Length of the park in drawing = $17$ inches $\newline$ We need to find the ratio of the length of the park in the drawing to the length in real life to determine the scale. $\newline$ Ratio = Length of the park in drawing / Length of the park in real life $\newline$ Ratio = $\frac{17}{170}$
Ratio Calculation: Now, we simplify the ratio $17 / 170$ by dividing both the numerator and the denominator by the greatest common factor, which is $17$ . $\newline$ $17/170 = 1/10$
Simplification of Ratio: The scale of the drawing is therefore $1$ inch to $10$ yards. $\newline$ So, for every inch on the drawing, it represents $10$ yards in real life. $\newline$ Scale of drawing: $(1 \text{ inch}) / (10 \text{ yards})$

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