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A blue rope is two times as long ad a red rope. A green rope is 8 times as long as the blue rope. If the total length of three ropes is 708.75 meters, what is the length of the blue rope?

Respuesta :

Heather

Answer: b ≈ 74.605 meters

Step-by-step explanation:

    Let b be the length of the blue rope, r be the length of the red rope, and g be the length of the green rope. We will write different equations to show the situation given.

         b =  2r

         g = 8b

         b + r + g = 708.75 meters

    Next, we will substitute expressions into the last equation for the variables r and g so we can solve for b.

b + r + g = 708.75 meters

b + ([tex]\frac{b}{2}[/tex]) + (8b) = 708.75 meters

9.5b = 708.75 meters

b ≈ 74.61 meters

    b ≈ 74.605 meters