Step 1 :Calculate the ratio of children to adults in terms of elevator capacity: \( \frac{25}{19} \)
Step 2 :Determine the equivalent number of children per adult: \( \frac{25}{19} \approx 1.3157894736842106 \)
Step 3 :Calculate the remaining capacity for adults after 10 children are in the elevator: \( 19 - \frac{10}{1.3157894736842106} \approx 11.399999999999999 \)
Step 4 :Round down the remaining capacity to the nearest whole number, as we cannot have a fraction of an adult: \( \lfloor 11.399999999999999 \rfloor = 11 \)
Step 5 :\( \boxed{11} \) adults can still get in the elevator.