SOLUTION: 90.) Solve each problem Barn Painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational

Question 164391This question is from textbook Elementary and Intermediate
: 90.) Solve each problem
Barn Painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fractions of the barn that they complete in one day by working together. Evaluate the expression for x = 5. This question is from textbook Elementary and Intermediate

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Melanie's rate + Mellisa's rate = rate working together
(1 barn / x days + 1 barn / 2x days)
As an algebra expression:

What this says is that they can paint 3 barns in 10 days
by working together, but there is only 1 barn to paint.
I'll make a new quantity called and I'll write
This says (1 barn/y days) = (3 barns/10 days)
Solve for by multiplying both sides by

So, working together, they can paint 1 barn in days
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