This is not homework I found it online and cannot solve it I have tried 20 min. a day for 4 weeks..........Tell me the process.Here it is:
You have $100 to buy 100 farm animals.At least 1 of each.Chicken cost 10 scents,Pigs $2,and sheep,$5.How much can you buy of each?You need a total of 100 animals for $100.
2007-02-16 11:39:57 · 7 answers · asked by sftbgurly07 2 in Education & Reference ➔ Homework Help
Aaron is correct!
Here is the method:
c=# of chickens, p = # of pigs, s = # of sheep
0.1c+2p+5s=100--- (1)
c+p+s=100---- (2)
put c = 100-p-s in (1)
1.9p+4.9s=90
Now since we want exactly 100 animals and exactly 100$ must be spent, try integer values of p and s. This shouldnt be too hard since for example s cannot be greater than around 17 and p cant be greater than 46. so its a pain to try different numbers, but you will get an answer for sure.. (if you know programming, you can write a simple code to calculate your answer)
p = 19
s = 11
c = 70
2007-02-16 12:16:47 · answer #1 · answered by Suhrid 1 · 1⤊ 0⤋
You know that c + p + s = 100
You also know that 0.10c + 2p + 5s= 100
Multiply that by 10 to get rid of the decimal
c + 20p + 50s = 1000. Now multiply all in first equation by -1:
-c + -1p + -1s = -100
So 19p + 49s = 900
In order for this to come out even c must be a multiple of 10, so p + s must also be a multiple of 10
You need to see which will come out even:
p + s = 20 would mean
-19p + -19s = -380
19p + 49s = 900
That's 30s = 520 , not divisib;e by 30
p + s = 30 would mean
-19p + -19s = -570
19p + 49s = 900
30s = 330 and s = 11, meaning p = 19 and c = 70
11X5 = 55
19X2 = 38
70X.10 = 7 adding up to 100
so there we go!
2007-02-16 12:06:51 · answer #2 · answered by hayharbr 7 · 0⤊ 1⤋
OK I have it.
70 chickens=$7.00
19 pigs=$38.00
11 Sheep =$55.00
Total 100 animals $100
Cheers!
2007-02-16 11:54:31 · answer #3 · answered by Aaron S 3 · 1⤊ 0⤋
The assination of poor old bill is something nerdy kids will know about, lol. Thanks though, by the way im 12! Right on! If u can try to help me again....or IM me!
2007-02-16 12:42:37 · answer #4 · answered by CARLOS7DIGITAL 1 · 0⤊ 1⤋
just keep doing trial and error, just keep plugging numbers in..
you are going to have the most amount of chickens.
2007-02-16 11:46:05 · answer #5 · answered by Lindsay 3 · 1⤊ 0⤋
its reall confusingf but i think u can try different patters until u think u got it...i love math and i dont think i can solve that.
2007-02-16 11:48:11 · answer #6 · answered by Anonymous · 0⤊ 1⤋
19 Sheep at $5 each = $95.00
2 Pigs at $2 each = $ 4.00
10 Chuickens at $0.10 each = $1.00
Total .......................................$100.00
2007-02-16 11:53:20 · answer #7 · answered by Contented 6 · 0⤊ 1⤋