Problema Solution

There are 140 lb of flour in two sacks. If you take 1 /8 of the flour from the first sack and add it to the second, there will be an equal amount of flour in both sacks. What is the original amount in each?

Answer provided by our tutors

let


x = lbs of flour in the first sack


y = lbs of flour in the second sack


There are 140 lb of flour in two sacks:


x + y = 140


If you take 1/8 of the flour from the first sack and add it to the second, there will be an equal amount of flour in both sacks:


x - 1/8 = y + 1/8


by solving the system of equations:


x + y = 140


x - 1/8 = y + 1/8


we find:


x = 70.125 lbs


y = 69.875 lbs


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the first sack had 70.125 lbs of flour.


the second sack had 69.875 lbs of flour.