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Zelda and Ricky are laying floor tiles for a 15 ft by 18 ft room using a scale drawing. Their drawing is 9 in. by 10.8 in. Zelda thinks the scale for the drawing is 1 to 5/3. Ricky thinks it is 1 to 20. Can they both be right? Explain why or why not?
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Answer:

No, they cannot both be right

Step-by-step explanation:

Firstly, we need to convert the ft in the real room to inches

Mathematically; 1 foot = 12 inches

So 15 ft will be 15 * 12 = 180 inches

18 ft will be 18 * 12 = 216 inches

Now let’s look at their drawings;

9 to 10.8

So 9 translated to 180 while 10.8 translated to 216

So the ratios here are;

9/180 and 10.8/216 = 1 : 20 for the ratio of the drawing to the real measure

This shows that only Ricky is right

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