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Question

To attend a local auto​ show, children admission was ​$8​, adult admission was ​$15​, and senior admission was ​$12. In​ all,147people attended the​ show, bringing in a total of ​$1479 of admission sales. Prior to​ leaving, every adult and senior filled out one free raffle ticket for a chance to win a new Lamborghini. A total of 57 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

8C +15A + 12S =1479

C+A+S = 147

multiply by 8

8C+8A +8S = 8(147)

subtract last equation from first

7A +4S = 1479-1176= 303

7A+4S =303

A+S=57

7A+7S =7(57)=399

7A+7S =399

7A+4S =303

3S = 96

S=32 Seniors

A = (303-128)/7 = 175/7=25 Adults

C= 147-32-25 = 90 Children

check the answers

8(90)+15(25) + 12(32)

=720+375 + 384

= 1479