Asked by Eloise
Tom have 100 geese and cows on his far. All in total there are 340 legs. How many geese and how many cows are there.
Answers
Answered by
Reiny
g + c = 100
2g + 4c = 340
or g + 2c = 170
subtract them ....
c = 70
thus g = 30
check my answer. I obviously have 100 animals, but do
I have 340 legs?
2g + 4c = 340
or g + 2c = 170
subtract them ....
c = 70
thus g = 30
check my answer. I obviously have 100 animals, but do
I have 340 legs?
Answered by
Henry2
There are X geese and Y cows.
Eq1: x + y = 100.
Eq2: 2x + 4y = 340 Legs.
Multiply Eq1 by -2 and add the Eqs:
-2x - 2y = -200
2x + 4y = 340
Sum: 2y = 140
Y = 70 Cows.
In Eq1, replace Y with 70 and solve for X.
Eq1: x + y = 100.
Eq2: 2x + 4y = 340 Legs.
Multiply Eq1 by -2 and add the Eqs:
-2x - 2y = -200
2x + 4y = 340
Sum: 2y = 140
Y = 70 Cows.
In Eq1, replace Y with 70 and solve for X.
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