Tripp and Rico are two dogs. Tripp weighs exactly 35 pounds more than Rico. Together, they weigh exactly 49 pounds. How much does each dog weigh? Please use Two-step equations!!!! plz, help!

Call the weights of the two dogs [tex]t[/tex] and [tex]r[/tex].

We know that Tripp weights 35lbs more than Rico, or:
[tex]t=r+35[/tex]

We also know that the total weight of both dogs is 49lbs.:
[tex]t+r=49[/tex]

Now, by substitution:
[tex](r+35)+r=49[/tex]
[tex]2r+35=49[/tex]
[tex]2r+35-35=49-35[/tex]
[tex]2r=14[/tex]
[tex]r=\frac{14}{2}[/tex]
[tex]r=7[/tex]
Rico weighs 7lbs.

Then:
[tex]t=r+35[/tex]
[tex]t=7+35[/tex]
[tex]t=42[/tex]
Tripp weighs 42lbs.

To check our work:
[tex]t+r=49[/tex]
[tex]42+7=49[/tex]
[tex]49=49[/tex]  CHECK!