Evan went to the park and saw 4 animals. Each animal was either a duck or dog. If he saw a total of 14 legs. How many of each animal did he see?

So dogs have 4 legs, ducks have 2

If three dogs have 12 legs, then one duck has 2, so total 14 legs, and 4 animals

4+4+4= 12+2=14

So 3 dogs and 1 duck :)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

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step-by-step explanation: