Exactly 120 tickets were sold for a concert. The tickets cost $12 each for adults, $10 each for seniors, and $6 each for children The number of adult tickets sold was equal to the number of child tickets sold. Given that the total revenue from the ticket sales was $1100, the number of senior tickets sold was

A:110

B:20

C:40

D:2

E:18

Question

Mathematics

Coby Casey

17 October, 16:20

Exactly 120 tickets were sold for a concert. The tickets cost $12 each for adults, $10 each for seniors, and $6 each for children The number of adult tickets sold was equal to the number of child tickets sold. Given that the total revenue from the ticket sales was $1100, the number of senior tickets sold was

A:110

B:20

C:40

D:2

E:18

+1

Answers (1)

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Vance Hubbard · Answer 1

A=adult tickets

c=chlderenticekts

s=sinior tickets

a=c

a+c+s=120

2a+s=120

total made is 1100

12a+6c+10s=1100

sub

a=c

12a+6a+10s=1100

add

18a+10s=1100

multiply first equation by - 9 and add to other equation

-18a-9s=-1080

18a+10s=1100 +

0a+s=20

s=20

20 senior tickets were sold

answer is B