Tailor master

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

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

Result

x =  48 m

Solution:

15=35 32=22222  LCM(15,32)=480  x=480/10=48  m 15 = 3 \cdot 5 \ \\ 32 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \ \\ \ \\ \text{LCM}(15, 32) = 480 \ \\ \ \\ x = 480/10 = 48 \ \text{ m }



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