Dressmaker

The dressmaker had a piece of canvas shorter than 5 metres. She was deciding whether to sew a skirt or a dress. The canvas was exactly enough to cut either a skirt needing 120 cm or a dress needing 180 cm. What length of canvas did she have?

Final Answer:

x =  3.6 m

Step-by-step explanation:

$$\begin{gathered} 120=2^3\cdot 3\cdot 5 \\ 180=2^2\cdot 3^2\cdot 5 \\ LCM(120,180)=2^3\cdot 3^2\cdot 5=360 \\ a=LCM(120,180)=360 \\ x=a\to \text{m}=a:100\text{m}=360:100\text{m}=3.6\text{m}=3.6\text{m} \end{gathered}$$

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