Answer: it will take her 10 minutes to finish 35 hot dogs
Explanation:
Mika can eat 21 hot dogs in 6 minutes. Let us determine the number of hot dogs that she can finish in one minute.
The number of hot dogs that she can finish in one minute would be 21/6 = 7/2 = 3.5 hot dogs
if she can keep up the same pace, the number of minutes, m that it will take her to finish 35 hot dogs would be 35/3.5 = 10 minutes. Therefore
m = 10 minutes.