SOLUTION: john bought 100 animals for $100. He bought more than 70 baby chicks. 8 @ 1$. a certain amount of goats that are $10 each and a certain amount of ducks that are $1 each.......how m
Algebra.Com
Question 93380: john bought 100 animals for $100. He bought more than 70 baby chicks. 8 @ 1$. a certain amount of goats that are $10 each and a certain amount of ducks that are $1 each.......how many of each animal did he buy??
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
John bought 100 animals for $100. He bought more than 70 baby chicks. 8 @ 1$. a certain amount of goats that are $10 each and a certain amount of ducks that are $1 each.......how many of each animal did he buy??
:
Since the cost of the ducks and goat are even dollars, the total of the chicks
has to be even dollars also
:
70 chicks @ 8 for a dollar: 70/8 = $8.75 for the 70 chicks, or .125 apiece,
add two more, to make it an even dollar amt: 72/8 = $9 for chicks
:
That makes our equations to be:
72 + d + g = 100; no. of animals
d + g = 100 - 72
d + g = 28
and
9 + d + 10g = 100; cost of animals
d + 10g = 100 - 9
d + 10g = 91
:
Use the two above equations and subtract:
d + 10g = 91
d + g = 28
----------------subtracting eliminates d
9g = 63
g = 63/9
g = 7 goats
:
Find d using d + g = 28
d + 7 = 28
d = 28 -7
d = 21 ducks
:
We have 72 chicks, 21 ducks and 7 goats, adds up to 100 animals
:
Check using the $amt equation:
9 + 21 + 7(10) = $100
:
Did this make sense?
RELATED QUESTIONS
for 100 crowns, a certain farmer bought some horses, goats, and sheep. For a horse, he... (answered by ptaylor)
a farmer buys 100 animals for $100
chicks=10 cents each
pigs=$2 each
sheep=$5 each... (answered by bucky)
A farmer buys 100 live animals for $100. How many of each doe she buy if chicks are .10... (answered by ankor@dixie-net.com)
I am having a problem setting up this word problem. Can someone please help me structure... (answered by ilana)
Got stumped on this.
A farmer bought 100 animals for $100.00. Pigs are $10, goats are... (answered by Alan3354)
A farmer buys 100 animals for 100 dollars but lost his receipt. Cows are $5 each, pigs... (answered by Alan3354)
A farmer buys 100 animals for 100 dollars but lost his receipt. Cows are $20 each, pigs... (answered by ewatrrr)
A farmer ordered 100 animals for 100 dollars from a local mill. he knew he ordered some... (answered by ankor@dixie-net.com)