Question

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?

Answer 1

Answer: b ≈ 74.605 meters

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 + (
`(b)/(2)`) + (8b) = 708.75 meters

9.5b = 708.75 meters

b ≈ 74.61 meters

b ≈ 74.605 meters