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 to 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.

Correct answer:

x =  65 m

Step-by-step explanation:

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

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