A certain roller coaster ride has between 80 and 110 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on the roller coaster. How many riders are in the line?
Choose the correct choice
A) 82 B) 87 C) 90 D) 102 E) 110
let 'x' be the number of riders. Given   x=5k+2 and x=6q also x is between 80-110   so multiples of 5= 80, 85, 90, 95, 100, 105, 110   multiples of 6= 84, 90, 96, 102, 108   Condition: If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on the roller coaster.   only value satisfying this condition within a group of 80-110 riders is 102.   ANSWER:102
<result>D</result>
A certain roller coaster ride has between 80 and 110 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on the roller coaster. How many riders are in the line?