Respuesta :
Answer:
The Original length of uncut String is of 120 cm.
Step-by-step explanation:
Let the length of original string be x.
Length of bracelet = 18 cm.
The necklace uses 50% of the string
Hence length of necklace will be equal to 50% of the string.
Length of necklace = [tex]\frac{50}{100}\timesx =0.5x[/tex]
The anklet is 60% shorter than the necklace.
Length of anklet will be equal to difference of Length of necklace and 60% of the Length of necklace.
Length of anklet = [tex]0.5x-\frac{60}{100}\times0.5x = 0.5x-0.3x = 0.2x[/tex]
The bracelet needs 25% less string than the anklet.
Length of bracelet will be equal to difference of Length of anklet and 25% of the Length of anklet.
Length of bracelet = [tex]0.2x-\frac{25}{100}\times0.2x = 0.2x-0.05x = 0.15x[/tex]
But Length of Bracelet = 18 cm
[tex]\therefore 0.15x=18\ cm\\\\x = \frac{18}{0.15}\ cm = 120\ cm[/tex]
Hence Total original Length of Uncut String is 120 cm.
