Question

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.

Answer 1

Carlos walked 14 dogs

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 =
`x-5`

As Carlos walked 3 more dogs than Brooke,

Number of dogs that Carlos walked =
`x+3`

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

So,

`x+x-5+x+3=31\\3x-2=31\\3x=31+2\\3x=33\\x=(33)/(3)\\ x=11`

Therefore, Carlos walked
`x+3=11+3=14` dogs