50 POINTS! Show All Work!

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Seudónimo Seudónimo

29-03-2019
Mathematics

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50 POINTS! Show All Work!

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mathstudent55 mathstudent55 · Answer 1 · 2019-03-29T17:34:17+01:00

Let the number of chickens = c.

Let the number of pigs = p.

A chicken has 1 head and 2 legs.

c number of chickens have c heads and 2c legs.

A pig has 1 head and 4 legs.

p number of pigs have p heads and 4p legs.

There are 40 heads.

Equation for heads:

c + p = 40

There are 110 legs.

Equation for legs:

2c + 4p = 110

System of equations:

c + p = 40

2c + 4p = 110

Solve the first equation of the system of equations for c:

c = 40 - p

Substitute 40 - p for c in the second equation:

2c + 4p = 110

2(40 - p) + 4p = 110

80 - 2p + 4p = 110

80 + 2p = 110

2p = 30

p = 15

Now substitute p = 15 in the first equation to find c.

c + p = 40

c + 15 = 40

c = 25

There are 25 chickens and 15 pigs.

Аноним Аноним · Answer 2 · 2019-10-08T02:26:54+02:00

Аноним Аноним

08-10-2019

Answer:

There are 25 chickens and 15 pigs. I did my research/work outside of brainly. Don't worry, the person above me also got the same answer so we're all good. Either way, I hope this helps you! :)

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