SOLUTION: May I request your assistance in answering this word problem. Thank you very much. "A farmer sold 7 goats, 11 chickens, 5 sheeps and 3 cows for U$980. One goat costs 3 times as

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: May I request your assistance in answering this word problem. Thank you very much. "A farmer sold 7 goats, 11 chickens, 5 sheeps and 3 cows for U$980. One goat costs 3 times as       Log On

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Question 152639: May I request your assistance in answering this word problem. Thank you very much.
"A farmer sold 7 goats, 11 chickens, 5 sheeps and 3 cows for U$980. One goat costs 3 times as much as one chicken, but cost half as much as one sheep and a quarter of the cost of one cow. How much did the farmer sell each goat?"

Found 2 solutions by scott8148, vleith:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"A farmer sold 7 goats, 11 chickens, 5 sheeps and 3 cows for U$980"
__ 7g+11c+5s+3c=980

"One goat costs 3 times as much as one chicken" __ 1g=3c __ g/3=c

"half as much as one sheep" __ g=s/2 __ 2g=s

"a quarter of the cost of one cow" __ g=c/4 __ 4g=c

substituting __ 7g+11(g/3)+5(2g)+3(4g)=980 __ 32 2/3 g=980 __ dividing by 32 2/3 __ g=30

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given 7g+%2B+11c+%2B+5s+%2B+3c+=+980
g+=+3c ---> c+=+g%2F3
g+=+0.5s --> {{2g = s}}}
g+=+0.25c --> 4g+=+c
Use substitution
7g+%2B+11c+%2B+5s+%2B+3c+=+980
7g+%2B+11%2Ag%2F3+%2B+5%2A2g+%2B+3%2A4g+=+980
7g+%2B+11g%2F3+%2B+10g+%2B+12g+=+980
%2829%2B11%2F3%29g+=+980
%2887%2B11%29g%2F3++=+980
g+=+%28980%2A3%29%2F98
g+=+30
wow, cheap goats !