Answer :
Answer:
The original length of the ribbon is 140 inches.
Step-by-step explanation:
Let the original length of the ribbon be x.
It is given that the piece of the ribbon is 15% of the original length of the ribbon and its length is 21 inches.
[tex]x\times \frac{15}{100}=21[/tex]
[tex]15x=21\times 100[/tex]
[tex]15x=2100[/tex]
Divide both sides by 15.
[tex]x=\frac{2100}{15}[/tex]
[tex]x=140[/tex]
Therefore the original length of the ribbon is 140 inches.
The original length of the ribbon was 140 inches if the cut piece of ribbon is 21 inches long. The piece of the ribbon is 15% of the original length of the ribbon.
What is the percentage?
It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign used to express the percentage.
We have a cut piece of ribbon is 21 inches long.
Let's suppose the original length of the ribbon is x inches
Then according to the question:
[tex]\rm (x)15\%= 21[/tex]
[tex]\rm (x)\frac{15}{100} = 21[/tex]
15x = 21×100
x = 140 inches
Thus, the original length of the ribbon was 140 inches if the cut piece of ribbon is 21 inches long. The piece of the ribbon is 15% of the original length of the ribbon.
Learn more about the percentage here:
brainly.com/question/8011401
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