Question

Mrs. Williams is deciding between two field trips for her class. The Science Center charges $125 plus $3 per student. The Dino Discovery Museum simply charges $8 per student. For how many students will the Science Center charge less than the Dino Discovery Museum?

Answer 1

let x be the number of students when the charges are equal.
8x=125+3x
8x-3x=125
5x=125
x=125/5=25
if x=24
charges for science center=125+3*24=125+72=197 $
charges for Dino Discovery Museum=24*8=$192
if x=26
charges for science center=125+26*3=125+78=$203
charges for Dino Discovery Museum=26*8=$208
so if number of students >25 then charges for science center is less than the charges for Dino Discovery Museum.