SOLUTION: a farmer had a total of 700 goats and sheep. if he sold 3/4 of his goats and 400 sheep , he would have an equal number of goats and sheep left. how many more sheep than gots did he

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Question 633468: a farmer had a total of 700 goats and sheep. if he sold 3/4 of his goats and 400 sheep , he would have an equal number of goats and sheep left. how many more sheep than gots did he have in the beginning?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement
:
a farmer had a total of 700 goats and sheep.
g + s = 700
g = (700-s); use this form for substitution
:
if he sold 3/4 of his goats and 400 sheep, he would have an equal number
of goats and sheep left.
1%2F4g = s - 400
multiply both sides by 4
g = 4(s - 400)
g = 4s - 1600
replace g with (700-s)
700 - s = 4s - 1600
700 + 1600 = 4s + s
2300 = 5s
s = 2300%2F5
s = 460 sheep in the beginning
and
700 - 460 = 240 goats in the beginning
:
how many more sheep than goats did he have in the beginning?
460 - 240 = 220 more sheep