SOLUTION: There are 46 legs on animals at the zoo. There are two more animals with 2 legs than animals with 4 legs. How many animals have 2 legs and how many have 4 legs. I know the answe

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Question 778206: There are 46 legs on animals at the zoo. There are two more animals with 2 legs than animals with 4 legs. How many animals have 2 legs and how many have 4 legs. I know the answer is 9 animals with 2 legs and 7 animals with 4 legs but how do I write and equation to solve this.
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number with 2 legs
Let = number with 4 legs
----------------------------
(1)
(2)
----------------
Substitute (2) into (1)
(1)
(1)
(1)
(1)
and


----------
There are 9 with 2 legs and 7 with 4 legs

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
There are 46 legs on animals at the zoo. There are two more animals with 2 legs than animals with 4 legs. How many animals have 2 legs and how many have 4 legs. I know the answer is 9 animals with 2 legs and 7 animals with 4 legs but how do I write and equation to solve this.
---------------
Quantity Equation:: t = f + 2
Legs Equation::::: 2t + 4f = 46
--------------------------------
Substitute for "t" and solve for "f":
2(f+2) + 4f = 46
6f = 42
f = 7 (# of animals with 4 legs)
-----
Solve for "t":
t = f+2
t = 9 (# of animas with 2 legs)
================================
Cheers,
Stan H.
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