SOLUTION: A rancher has some sheep and ostriches. His young daughter observed that the animals have a total of 60 eyes and 86 feet. How many animals of each type does the rancher have?

Question 308418: A rancher has some sheep and ostriches.
His young daughter observed that the animals have a total
of 60 eyes and 86 feet. How many animals of each type
does the rancher have?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
2S+2O=60 total eyes. (MULTIPLY BY -2 & ADD.)
4S+2O=86 total feet.
-4S-4O=-120
----------------
-2O=-34
O=-34/-2
O=17 OSTRICHES.
2S+2*17=60
2S+34=60
2S=60-34
2S=26
S=26/2
S=13 SHEEP.
PROOF:
4*13+2*17=86
52+34=86
86=86
RELATED QUESTIONS
A rancher has some sheep and ostriches. His young daughter observed that the animals... (answered by josmiceli)

A rancher has some sheep and ostriches. His daughter observed that the animals have a... (answered by josmiceli)

a rancher has some normal cows and horses. one day he observed that his animals has a... (answered by josgarithmetic)

Harry went to an exhibit in the zoo that only houses camels and ostriches.He saw 60 eyes... (answered by richwmiller,TimothyLamb)

A farmer has sheep and geese. There are a total of 36 animals and 118 legs. How many of (answered by scott8148)

There are 21 animals on Farmer Cole's farm- all sheep and chickens. If the animals have a (answered by checkley77)

A farmer wants to build a pen in the following shape to keep his ostriches and emu... (answered by Edwin McCravy)

a man when asked how many hens and buffaloes he has, told that his animals have 120 eyes... (answered by rwm)

I am trying to help my daughter with homework and apparently it has been too long since I (answered by mananth)