You have some turtles and some pelicans. together there are 114 legs and a total of 34 animals. how many of each animal are there?if answer before 8/17/18 to get brainliest

Let t and p represent the numbers of turtles and pelicans, respectively.

... 2p + 4t = 114 . . . . . . . the number of legs is 114

... p + t = 34 . . . . . . . . . the number of animals is 34

Divide the first equation by 2 and subtract the second.

... (2p +4t)/2 - (p +t) = (114)/2 - 34

... t = 23 . . . . . . . . . . . . . . . . . . . . . . simplify

Then p = 34 - t = 11

There are 11 pelicans and 23 turtles.

You can get to the same answer by considering the number of legs you would have if all the animals were pelicans. That would be 34*2 = 68. The is 46 fewer legs than there actually are. Each turtle that replaces one of those 34 pelicans adds 2 legs to the total, so to add 46 legs, we must replace 46/2 = 23 pelicans with turtles. That is, there are 23 turtles and 11 pelicans.

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