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Question
shane made a scale drawing of a hotel. a room in the hotel, which is 18 feet wide in real life, is 51 inches wide in the drawing. what is the scale of the drawing? 17 inches : feet
Step1: Find the ratio of the drawing - to - real - life for the given values
We know that 51 inches in the drawing represents 18 feet in real - life. First, we want to find out what 17 inches in the drawing represents in real - life. Let's set up a proportion. If 51 inches corresponds to 18 feet, and we want to find out what $x$ feet 17 inches corresponds to. The proportion is $\frac{51}{18}=\frac{17}{x}$.
Step2: Cross - multiply and solve for $x$
Cross - multiplying gives us $51x = 17\times18$. Then $51x=306$. Divide both sides by 51: $x=\frac{306}{51}=6$.
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