The number of hotdogs ate by Ann is 25
Solution:
Given that, Tom ate 7 more than [tex]\frac{2}{5}[/tex] the amount of hot dogs that Ann ate
Tom ate 17 hot dogs
Number of hotdogs ate by Tom = 17
To find: Number of hotdogs ate by Ann
Let "x" be the number of hotdogs ate by Ann
From given statement,
Number of hotdogs ate by Tom = 7 + [tex]\frac{2}{5}[/tex] of Number of hotdogs ate by Ann
[tex]17 = 7 + \frac{2}{5} \text{ of } x\\\\17 = 7 + \frac{2}{5} \times x\\\\17 = 7+\frac{2x}{5}\\\\17=\frac{35+2x}{5}\\\\85 = 35 + 2x\\\\2x = 50\\\\x = 25[/tex]
Thus number of hotdogs ate by Ann is 25
