Tailor master

There are less than 50 m of textile in the tailoring workshop. No textile is left when cutting on a blouse (consumption 1.5 m). No textile is left when using a cloth (consumption of 3.2 m).

How many meters of textiles are in a tailor's workshop?

Final Answer:

x =  48 m

Step-by-step explanation:

$$\begin{gathered} 15=3\cdot 5 \\ 32=2^5 \\ LCM(15,32)=2^5\cdot 3\cdot 5=480 \\ a=LCM(15,32)=480\text{dm} \\ x=a\to \text{m}=a:10\text{m}=480:10\text{m}=48\text{m}=48\text{m} \end{gathered}$$

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