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Cheryl has a horse and cow ranch that contains 100 animals. The value of each horse is $500 and the value of each cow is $200. If the total value of the 100 animals is $31,000, how many horses and cows does Cheryl have on her ranch?​

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The number of the cows is 63 and the number of the horses is 37.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

  • Cheryl has a horse and cow ranch that contains 100 animals. The value of each horse is $500
  • The value of each cow is $200. If the total value of the 100 animals is $31,000.

The number of horses and cows will be calculated by forming the expression from the given data in the question. So the two expressions are as follows.

h  +  c  = 100

500h  +  200c  =  31000

Solving the above two equations by substitution method:-

h  =  100  -  c

Put the value of h in the second equation:-

500 ( 100 - c ) + 200c = 31000

50000 - 500c  + 200c =  31000

50000 - 300c  =  31000

50000 - 31000 = 300c

c  =  19000 / 300

c = 63

Put the value of c in the first equation we will get the number of the horses.

h  + c  =  100

h  +  63  =  100

h  =  100-67  =  37

Therefore the number of the cows is 63 and the number of the horses is 37.

To know more about Expression follow

https://brainly.com/question/723406

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