A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?" Let h represent the number of horses. Which equation represents the situation?

Respuesta :

The answer is 2h-2. I hope this helps

Let

h--------> number of horses

c--------> number of cows

we know that

[tex]h+c=16[/tex] --------> equation [tex]1[/tex]

[tex]h=c+2[/tex] --------> equation [tex]2[/tex]

substitute equation [tex]2[/tex] in equation [tex]1[/tex]

[tex](c+2)+c=16[/tex]

[tex] 2c+2=16[/tex]

[tex] 2c=16-2[/tex]

[tex] c=7[/tex]

Find the value of h

[tex]h=c+2[/tex]

[tex]h=7+2[/tex]

[tex]h=9[/tex]

therefore

the answer is

There are [tex]9\ horses[/tex] and [tex]7\ cows[/tex]

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