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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 c represent the number of cows. which equation represents the situation? 2(c 2)=16 2 left parenthesis c plus 2 right parenthesis equals 16 2c 2 = 16 2, c, 2 = 16 2c−2=16 2 c minus 2 equals 16 c 2 = 16

Respuesta :

The equation that represents the given situation of horses and cows will be 2c + 2 = 16.

We have,

A statement that there are 2 more horses than cows in a field.

And,

Total animals in the field = 16,

So,

Now,

According to the question,

Let,

Number of cows = c,

And,

Number of horses = h,

So,

As mentioned in the statement above,

We get,

Number of horses = 2 + Number of cows,

i.e.

h = 2 + c     ..... (i)

And,

Total animals in the field = 16,

i.e.

h + c = 16     ..... (ii),

Now,

From equation (i), taking value of h and putting in equation (ii),

We get,

2 + c + c = 16

i.e.

2 + 2c = 16,

So,

The equation that represents the given situation is 2 + 2c = 16.

Hence we can say that the equation that represents the given situation of horses and cows will be 2c + 2 = 16.

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