Cari owns a horse farm and a horse trailer that can transport up to 8,000 pounds of livestock and tack. She travels with 5 horses with a combined weight is 6,240 pounds. Let t represent the average weight of tack per horse. Which of the following inequalities could be used to determine the weight of tack Cari can allow for each horse?
6,240+t<=8,000
8000>=6,240t
6240+5t<=8,000
8,000+6,240<=5t
8000-6240>=5t

Cari owns a horse farm and a horse trailer that can transport up to 8000 pounds of livestock and tack She travels with 5 horses with a combined weight is 6240 p class=

Respuesta :

5 horses with a combined weight of 6,240 pounds
horse trailer has a limit of 8,000 pounds of horse and tacks.

Find the weight of tack, t, for each horse that Cari can allow.

5t + 6,240 <  8,000

5t + 6,240 < 8,000
    - 6,240    -6,240
5t              < 1,760
÷5                 ÷5    
 t               <  352

Each horse can carry a tack that weighs no more than 352 pounds. 

Any tack that weighs beyond 352 pounds is will exceed the maximum carrying capacity of the horse trailer.


The each horse can carry a tack that weighs no more than 352 pounds.

Cari owns a horse farm and a horse trailer that can transport up to 8,000 pounds of livestock and tack.

5 horses with a combined weight of 6,240 pounds

horse trailer has a limit of 8,000 pounds of horse and tacks.

We have find the weight of tack t  for each horse that Cari can allow.

What is the inequality?

The relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

[tex]5t + 6,240 < 8,000[/tex]

[tex]5t + 6,240 < 8,000[/tex]

Subtract    6,240  from both side.

[tex]5t < 1,760[/tex]

divide both side by 5

[tex]t < 352[/tex]

Therefore each horse can carry a tack that weighs no more than 352 pounds.

That is any tack that weighs beyond 352 pounds is will exceed the maximum carrying capacity of the horse trailer.

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