# Package

The package has no more than 66 m of cloth. If we just cut it all on the blouses or all on dresses, no cloth left remain. On the one blouse consumes 1.3 m of cloth and on one dress 5 m.

Determine the amount of the cloth in the package.

Result

x =  65 m

#### Solution:

$a=10 \cdot \ 1.3=13 \ \text{dm} \ \\ b=10 \cdot \ 5=50 \ \text{dm} \ \\ \ \\ 13 \ ... \ prime number \ \\ 50=2 \cdot 5^2 \ \\ LCM(13, 50)=2 \cdot 5^2 \cdot 13=650 \ \\ \ \\ x=LCM(a, b)/10=LCM(13, 50)/10=65 \ \text{m}$

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