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?

Answer 1

at 1000th phone call

Answer 2

Answer:

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

Step-by-step explanation:

Radio Station gives :

• 1st prize : $15 to 15th caller

• 2nd prize : $25 to 25th caller

• 3rd prize : free concert tickets to 100th caller

So, in order to get all the three prizes the caller must be 15th, 25th and 100th caller at the same time. But to find when the radio station will give first all three prizes we calculate L.C.M. of ( 15, 25, 100 ) that is 300

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