350 second song is divided into three parts; the beginning, middle, and the end. The beginning is one-sixth as long as the end. The middle part is one-half as long as the end. Find the length of each part.

Question

anonymous · Answer

beginning=58.3 middle=175 end= 116.7

anonymous · Answer

You are amazing thank you!

anonymous · Answer

your welcome

kropot72 · Answer

Let the length of the end = e seconds
Length of begining = e/6
Length of middle = e/2
$$e+\frac{e}{6}+\frac{e}{2}=350$$
$$\frac{6e+e+3e}{6}=350$$
Now you can solve to find the length of the end (e) and calculate the begining and the middle.

anonymous · Answer

Thank you!

kropot72 · Answer

You're welcome. Do you know how to solve for e ?

anonymous · Answer

Not exactly. Why don't you divide 350 by 6?

kropot72 · Answer

You multiply both sides by 6 to get:
$$\frac{10e}{6}\times 6=350\times 6$$
$$10e=2100$$

anonymous · Answer

Ok I understand now thank you. I had the first part step correct but forgot to take the end product and divide it out with the original equation.

kropot72 · Answer

Glad to know that you understand now :)