Problema Solution
A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and 29 ducks, he had half as many chickens as ducks left. How many chickens did this farmer have at first?
Answer provided by our tutors
let
c = the number of chickens the farmer had at first
d = the number of ducks the farmer had at first
a farmer had twice as many chickens as ducks on his farm
c = 2d
after he sold 166 chickens and 29 ducks, he had half as many chickens as ducks left
c - 166 = (d - 29)/2
by solving the system of equations
c = 2d
c - 166 = (d - 29)/2
we find
c = 202 chickens
click here to see the step by step solution of the system of equations
the farmer had 202 chickens at first.