Question

A mathematician designed your favorite video game. All of the caves have either two or three portals to the next universe. The total number of portals is 95 more than the total number of caves. The number of two-portal caves is three times the number of three-portal caves. How many caves are in the video game

Answer 1

95 - 9x

Explanation:

All caves have ; 2 or 3 portals

Total portals = 95 more than number of caves

Let :

Number of 3 portal caves = x

Number of 2 portal caves = 3x

Total Number of portals :

3x + 2(3x) = 3x + 6x = 9x

Number of caves :

95 - 9x