SOLUTION: in a farm, there are 150 more goats than ducks. there are 1800 animal legs altogether. how many goats and ducks are there in the farm?

Question 177869: in a farm, there are 150 more goats than ducks. there are 1800 animal legs altogether. how many goats and ducks are there in the farm?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
in a farm, there are 150 more goats than ducks. there are 1800 animal legs altogether. how many goats and ducks are there in the farm?
-----------------
Equations:
Quantity Equation: g = d + 150
Leg equation: 4g + 2d = 1800
---------------------------------
Rearrange:
g - d = 150
4g + 2d = 1800
--------------------
Modify:
2g - 2d = 300
4g + 2d = 1800
---------------------
Add to solve for "g":
6g = 2100
g = 350 (# of goats)
----
Solve for "d":
350 -d = 150
d = 200 (# of ducks)
========================
Cheers,
Stan H.

RELATED QUESTIONS
A farm house shelters 26 animals. Some are goats and some are ducks. Altogether there are (answered by ewatrrr)

There are 96 ducks and goats. There are 316 legs between the ducks and goats. How many... (answered by josmiceli,richwmiller)

a farmhouse has 15 animals. Some are goats and some are ducks. altogether there are 48... (answered by checkley77)

A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are... (answered by ikleyn)

there are some chickens and goats on a farm. huxian counted 45 heads while lixin... (answered by josmiceli)

Mike has only ducks and cows on his farm. The cows and ducks have 52 legs in total.... (answered by Edwin McCravy)

A group of goats and ducks have a total of 99 heads and legs among them. There are twice... (answered by solver91311)

A group of goats and ducks have a total of 99 heads and legs among them, there are twice... (answered by stanbon)

There are 19 animals in the field. Some are goats and some are ducks. There are 72 legs (answered by ikleyn)