Question

A cut piece of ribbon is 21 inches long. The piece of ribbon is 15% of the original length of the ribbon.
How long was the original length of the ribbon?

Answer 1

Given:

A cut piece of ribbon is 21 inches long

The piece of ribbon is 15% of the original length of the ribbon

To find:

The original length of the ribbon

Solution:

Let "x" inches represent the original length of the ribbon.

So,

The length of the cut piece of the ribbon = 15% of x = $[\frac{15}{100} \times x] \:inches$

But it is given that the cut piece of ribbon is 21 inches

Therefore, we can form an eq. as,

$[\frac{15}{100} \times x] = 21$

⇒ $x = \frac{21 \:\times \:100 }{15}$

⇒ $x = \frac{7\:\times\:100}{5}$

⇒ $x = 7 \:\times\:20$

⇒ $\bold{x = 140\:inches}$

Thus, the original length of the ribbon was 140 inches.

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