farmer green sent his two children out to count the hens and sheep. his daughter counted 40 heads, and his son counted 100 legs. how many sheep and how many hens are in the farm?
2006-10-29 14:10:15 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
40 Animals = Hens + Sheep
100 Legs = (Hens * 2legs) + (Sheep * 4legs)
rewrite using just letters
40 = H + S
100 = (H*2) + (S*4)
solve "40 = H + S" for H
40 - S = H
replace H in "100 = (H*2) + (S*4)" with "40 - S", since we now know "40 - S = H"
100 = ( (40-S) * 2) + (S * 4)
collapse the above
100 = ( 80 - 2S ) + 4S
100 = 80 - 2S + 4S
100 = 80 + 2S
solve for S
20 = 2S (subtract 80 for each side)
10 = S (divide each side by 2)
There are 10 sheep! So how many Hens?
40 Animals = Hens + 10 Sheep
....subtract 10
30 Animals = Hens
There are 30 hens and 10 Sheep.
Lamb and Eggs for dinner! Mmmm!
2006-10-29 14:26:25 · answer #1 · answered by WickedSmaht 3 · 0⤊ 0⤋
40 heads means there are total of 40 animals (hens and sheep). Hens have two legs, sheep have 4 legs. There are 10 sheep (10 heads and 40 legs) and 30 hens (30 heads and 60 legs). Total heads - 40. Total legs - 100
2006-10-29 22:14:41 · answer #2 · answered by ser_nyc 1 · 0⤊ 0⤋
10 sheep 10x4=40 and 30 hens 30x2=60 60+40=100
2006-10-29 22:15:22 · answer #3 · answered by nameless473 1 · 0⤊ 0⤋
24 sheep & 2 hens .
2006-10-29 22:17:23 · answer #4 · answered by Tired Old Man 7 · 0⤊ 0⤋
10sheep30 chickens
10 x 4 legs= 40 sheep legs
30 x2 legs = 60 chicken legs
2006-10-29 22:13:52 · answer #5 · answered by QuiteNewHere 7 · 0⤊ 0⤋
s=sheep
c=chickens
s+c=40 (40 heads)
4s+2c=100 (4 legs per sheep, 2 per chicken)
work it out
2006-10-29 22:14:44 · answer #6 · answered by hot.turkey 5 · 0⤊ 0⤋