Respuesta :
The equation to find the length r of the red ribbon is:
[tex]r = \frac{3b}{2}[/tex]
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,
[tex]\text{Length of blue ribbon } = \frac{2}{3} \times \text{ length of the red ribbon }[/tex]
Therefore,
[tex]b = \frac{2}{3} \times r\\\\3b = 2r\\\\r = \frac{3b}{2}[/tex]
Thus the equation to find the length r of the red ribbon is found
an equation to find the length r of the red ribbon is [tex]r = \frac{3b}{2}[/tex] , 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. [tex]\frac{2r}{3}[/tex] .
Length of red ribbon = r cm
Length of blue ribbon = b = [tex]\frac{2r}{3}[/tex] cm
⇒ Length of blue ribbon = b = [tex]\frac{2r}{3}[/tex] cm
⇒ b = [tex]\frac{2r}{3}[/tex]
⇒ [tex]r = \frac{3b}{2}[/tex]
Therefore, an equation to find the length r of the red ribbon is [tex]r = \frac{3b}{2}[/tex] , where b is the length of blue ribbon.
