Aradio station gives away $15 dollars to every 15th caller, 25$ dollars to every 25th caller, and a free concert ticket to every 100th caller. when will the station first give away all three prizes to one caller? when happens how much money and how many tickets are given away?

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

is there any other information given for this problem? this is not enough information.