At a bake sale, there were 35 oatmeal raisin cookies sold. If the ratio of oatmeal raisin cookies sold to chocolate chip cookies sold was 5:6, what is the combined amount of oatmeal raisin cookies sold to chocolate chip cookies sold?

(oatmeal raisin) : (chocolate chip) = 5 : 6

(oatmeal raisin) = 35

(chocolate chip) = x

35 : x = 5 : 6

5x = 35*6

x = 35*6/5 = 42 (chocolate chip)

combined amount = (oatmeal raisin) + (chocolate chip) = 35 + 42 = 77

Answer is 77 cookies altogether.