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Edufirst

Answer:

  • The farmer bought 170 animals of each species.

Step-by-step explanation:

The translation of the question into English is:

"a farmer bought the same number of calves and cows for 476,000. He/she paid 800 for a calf and 2000 for a cow, how many animals of each species did he/she buy?"

Solution to the problem

1. Choose the variable's name and translate the verbal statements into algebraic expressions:

  • a) number of calves or cows: x
  • b) He/she paid 800 for a calf: 800x
  • c) He/she paid 2,000 for a cow: 2000x
  • d) For 476,00: 800x + 2000x = 476,000 . . . .  this is your equation

2. Solve the equation:

a) Write the equation:

    [tex]800x+2,000x=476,000[/tex]

b) Add like terms:

    [tex]2,800x=476,000[/tex]

c) Use division property of equalities: divide both sides by 800:

    [tex]x=476,000/2,800=170[/tex]

d) Translate the solution into a verbal statement:

Since x represents both the number of calves and the number of cows, the answer is:

  • The farmer bought 170 animals of each species.

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