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Craig hired 3 high school students to work for his dog walking business. This week, they walked a total of 31 dogs.
Allyson walked 5 less dogs than Brooke.
Carlos walked 3 more dogs than Brooke.
How many dogs did Carlos walk this week?
o Carlos walked 6 dogs.
o Carlos walked 8 dogs.
O Carlos walked 11 dogs.
o Carlos walked 14 dogs.

Respuesta :

Answer:

Carlos walked 14 dogs

Step-by-step explanation:

Let x denotes number of dogs that Carlos walked this week.

As Allyson walked 5 less dogs than Brooke,

Number of dogs that Allyson walked = [tex]x-5[/tex]

As Carlos walked 3 more dogs than Brooke,

Number of dogs that Carlos walked = [tex]x+3[/tex]

Also, total number of dogs walked this week is equal to 31.

So,

[tex]x+x-5+x+3=31\\3x-2=31\\3x=31+2\\3x=33\\x=\frac{33}{3}\\ x=11[/tex]

Therefore, Carlos walked [tex]x+3=11+3=14[/tex] dogs

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