SOLUTION: If I had to buy 100 chickens for $100 where Roster=$5 Hens=$1 Bitties=$.05 How many of each will I have to buy to equal 100 chickens @$ 100

Question 571267: If I had to buy 100 chickens for $100 where
Roster=$5
Hens=$1
Bitties=$.05
How many of each will I have to buy to equal 100 chickens @$ 100
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If I had to buy 100 chickens for $100 where
Roster=$5
Hens=$1
Bitties=$.05
How many of each will I have to buy to equal 100 chickens @$ 100
:
Total chicken equation
r + h + b = 100
total cost equation
5r + 1h + .05b = 100
:
This does not seem to work out, no integer solutions, perhaps you meant:
:
Roster=$5
Hens=$1
Bitties=$.50
then
Total chicken equation
r + h + b = 100
total cost equation
5r + 1h + .5b = 100
:
Subtract the 1st equation from the above equation
5r + 1h + .5b = 100
1r + 1h + 1b = 100
-------------------eliminates h
4r - .5b = 0
4r = .5b
r = b
You can see in order to have an integer solution, b = 8
r = (8)
r = 1 rooster, 8 bitties
Find h
1 + h + 8 = 100
h = 100 - 9
h = 91 hens
:
Summarize: 1 rooster, 91 hens, 8 bitties
Check
5(1) + 1(91) + .5(8) =
5 + 91 + 4 = $100
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