Math Autoshow question

Question

To attend a local auto show children admission was three dollars adult admission was $16 and seen her admission was $11 in all 208 people attended the show bringing a total of $2124 of admission sales prior to leaving every adult and senior filled out one free raffle ticket for a chance to win a new Porsche a total of 145 raffle tickets were filled out

How many children attended the auto show?—

How many adults attended the auto show?—

How many seniors attended the auto show?—

Answer 1

3C+16A + 11S = 2124

C+A +S = 208

A+S = 145

C = 208-145 = 63 children

3(63) + 16A + 11S = 2124

16A + 11S = 2124-189 = 1935

11A +11S = 1595

5A = 1935-1595 = 340

A =340/5 = 68 adults

S =145-68 = 77 seniors

3(63)+16(68)+11(77 = 189+ 1088 +847 = 2124