Question

In 10 minutes, the top 3 contestants of a hot dog eating contest consumed 136 hot dogs. The winner ate 9 more hot dogs than the runner-up, and the runner-up ate 8 more hot dogs than the third-place contestant. How many hot dogs did each contestant eat?

Answer 1

Answer:

Step-by-step explanation:

Given that in  10 minutes, the top 3 contestants of a hot dog eating contest consumed 136 hot dogs. The winner ate 9 more hot dogs than the runner-up, and the runner-up ate 8 more hot dogs than the third-place contestant.

Let winner up ate x hot dogs

Then runner up ate 9 less than the winner i.e. $x-9$

The third place contstant ate 8 less than runner up i.e.

$x-9-8 = x-17$

Total ate by these three =$x+x-9+x-17 = 136$

$3x-26 =136\\3x=162\\x = 54$

Winner ate 54, runner up ate 45 and third ate 37