Question

A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and free concert tickets to every 100th caller. When will the station first give away all three prizes to one caller? PLEASE HELP.

Answer 1

to the 175th caller all the numbers go into 175 

Answer 2

The station first give away all three prizes to 300th caller.

Explanation:

A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and free concert tickets to every 100th caller.

To get the answer we need to calculate L.C.M. of 15, 25, 100.

15 = 3 x 5

25 = 5 x 5

100 = 2 x 2 x 5 x 5

LCM is = 2 x 2 x 3 x 5 x 5 = 300.

Hence, the station first give away all three prizes to 300th caller.