Champ ate 1 more than twice the number of dog treats that Queenie ate. Together they consumed 13. How many dog treats did Queenie eat?

Show your work

If the number queenie ate is q and the number champ ate is c

then q + c = 13 (together they ate 13)

and 1+2q = c (champ ate 1 more than 2x what queenie ate)

we know c is 1+2q so you can put that in the other equation where c goes

q+c = 13 turns to q + 1+2q = 13

solve that for q:

3q + 1 = 13

3q = 12

q = 4

Queenie ate 4 treats