A museum charges $14.50 for a one day youth admission and $18.50 for a one day adult admission. One Friday, the museum collected $1694 From a total of 108 youths and adults . How many admissions of each type were sold?

Question

A museum charges $14.50 for a one day youth admission and $18.50 for a one day adult admission. One Friday, the museum collected  $1694 From a total of 108 youths and adults . How many admissions of each type were sold?

R_scott · Answer

y + a = 108 14.5 y + 18.5 a = 1694 solve the system for y and a multiplying by 14.5 ... 14.5 y + 14.5 a = 14.5 * 108 subtract equations to eliminate y solve for a , then substitute back to find y