You can put this solution on YOUR website! A cow costs seven times as much as a goat,for 84000,
I can buy 18 more goats than cows.
How much does a goat cost?
:
Let x = cost of a goat (g)
then
7x = cost of a cow (c)
:
g = no. of goats
c = no. or cows
"I can buy 18 more goats than cows"
g - c = 18
g = (c+18)
:
Cost equation
xg + 7xc = 84000
Replace g with (c+18)
x(c+18) + 7xc = 84000
xc + 18x + 7xc = 84000
18x + 8xc = 84000
x(18 + 8c) 84000
x =
From this equation we can see that there are many solutions, for example:
Using integer values, let c = 24 cows, find the cost of one goat (x)
x =
x =
x =
x = $400 for one goat
:
Check this:
24 + 18 = 42 goats, and 7(400) = $2800 for one cow
42(400) + 24(2800) =
16800 + 67200 = $84000
:
another integer solution: 3 cows, yield a cost of $2000 for one goat
You can confirm this solution yourself
