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 the original amount in the first sack
y = lbs the original amount 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)x = y + (1/8)x
by solving the system of equations:
x + y = 140
x - (1/8)x = y + (1/8)x
we find:
x = 80 lbs
y = 60 lbs
click here to see the step by step solution of the system of equations:
there are 80 lbs of flour in the first sack and 60 lbs of flour in the second sack.