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

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