Question

The length of the blue ribbon is two-thirds the length of the red ribbon. Write an equation to find the length r of the red ribbon.

Answer 1

The equation to find the length r of the red ribbon is:

$r = \frac{3b}{2}$

Solution:

Let "b" be the length of blue ribbon

Let "r" be the length of red ribbon

To find: equation for length r of the red ribbon.

The length of the blue ribbon is two - thirds the length of the red ribbon

Which means,

$\text{Length of blue ribbon } = \frac{2}{3} \times \text{ length of the red ribbon }$

Therefore,

$b = \frac{2}{3} \times r\\\\3b = 2r\\\\r = \frac{3b}{2}$

Thus the equation to find the length r of the red ribbon is found

Answer 2

an equation to find the length r of the red ribbon is $r = \frac{3b}{2}$ , where b is the length of blue ribbon.

Step-by-step explanation:

We have , The length of the blue ribbon is two-thirds the length of the red ribbon. Let length of red ribbon is r cm , than length of blue ribbon is  two-thirds the length of the red ribbon i.e. $\frac{2r}{3}$ .

Length of red ribbon = r cm

Length of blue ribbon = b = $\frac{2r}{3}$ cm

⇒ Length of blue ribbon = b = $\frac{2r}{3}$ cm

⇒ b = $\frac{2r}{3}$

⇒ $r = \frac{3b}{2}$

Therefore, an equation to find the length r of the red ribbon is $r = \frac{3b}{2}$ , where b is the length of blue ribbon.