Step-by-step explanation:
Let the total no. of hot dogs eaten in the contest = x
The winner ate about 35% of all the hot dogs eaten in the contest .
The% of hot dogs eaten in the contest by other
= (100-35)% = 65%
Now, it is already said that the no. of hot dogs eaten in the contest by other = 26
65% of x = 26
[tex] \frac{65}{100} x = 26[/tex]
[tex]x = 26 \times \frac{100}{65} [/tex]
[tex]x = 40[/tex]
Total no. of hot dogs eaten in the contest = 40
The winner ate= 40-26 = 14 hot dogs
