SOLUTION: the average price of 12 gaots and 12 sheep is USD600, while the price of one sheep is the same of 2 goats. find the price of 3 goats and one sheep. Best regards, Said

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: the average price of 12 gaots and 12 sheep is USD600, while the price of one sheep is the same of 2 goats. find the price of 3 goats and one sheep. Best regards, Said      Log On


   

Question 901614: the average price of 12 gaots and 12 sheep is USD600, while the price of one sheep is the same of 2 goats. find the price of 3 goats and one sheep.
Best regards,
Said
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
g price for 1 goat
s price for 1 sheep
%2812%2As%2B12%2Ag%29%2F24=6
;
s=2g

Simplify the average price equation.
12%28s%2Bg%29%2F%282%2A12%29=6
2%28s%2Bg%29%2F%282%2A12%29=1
%28s%2Bg%29%2F12=1
s%2Bg=12

Substitute for s.
2g%2Bg=12
highlight%283g=12%29, which is the answer to part of the question. Three goats is 12 dollars.

ONE sheep:
s=2g, and knowing cost of three goats, g=4.
s=2%2A4
highlight%28s=8%29----price of 1 sheep.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
the average price of 12 gaots and 12 sheep is USD600, while the price of one sheep is the same of 2 goats. find the price of 3 goats and one sheep.
Best regards,
Said


Let price of 1 goat and 1 sheep, be G, and S, respectively

Then, 12G + 12S = 600____12(G + S) = 12(50)____G + S = 50 ------ eq (i)

Also, S = 2G ------ eq (ii)

G + 2G = 50 -------- Substituting 2G for S in eq (i)

3G, or 3 goats cost: $highlight_green%2850%29

S+=+2%2850%2F3%29 ------ Substituting 50%2F3 for G in eq (ii)

S, or price of 1 sheep = 100%2F3, or $highlight_green%2833.33%29

Price of 3 goats and 1 sheep: 50 + 33.33, or $highlight_green%28highlight%28highlight_green%2883.33%29%29%29