look down below

Question

To attend a local auto​ show, children admission was ​$7​, adult admission was ​$14​, and senior admission was ​$10. In​ all, 124 people attended the​ show, bringing in a total of ​$1377 of admission sales. Prior to​ leaving, every adult and senior filled out one free raffle ticket for a chance to win a new Ferrari. A total of 87 raffle tickets were filled out.

How many children attended the auto​ show?

How many adults attended the auto​ show?  

How many senior attended the auto​ show?  

Answer 1

7C + 14A + 10S = 1377

C+A + S = 124

A+S = 87

subtract the last two equations

C = 37 Children

7(37) +14A +10S = 1377

14A +10S = 1377-259 = 1118

10A +10S = 870

4A = 248

A = 248/4 = 62 Adults

S= 124-37-62 = 124-99= 25 Seniors

37 Children, 62 Adults, 25 Seniors

37(7)+ 62(14) +25(10) = 259 +868+ 250 = 1377