The school that Kayla goes to is selling tickets to a play. On the first day of ticket sales the school sold 6 senior citizen tickets and 11 child tickets for a total of $120. The school took in $24 on the second day by selling 2 senior citizen tickets and 1 child ticket. What is the price each of one senior citizen ticket and one child ticket?

Question

Mathematics

Alijah Olsen

25 January, 02:15

The school that Kayla goes to is selling tickets to a play. On the first day of ticket sales the school sold 6 senior citizen tickets and 11 child tickets for a total of $120. The school took in $24 on the second day by selling 2 senior citizen tickets and 1 child ticket. What is the price each of one senior citizen ticket and one child ticket?

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Answers (1)

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Jordan Ewing · Answer 1

6S + 11C = $120

2S + 1 C = $24

So solve equation 2 for C

C = 24 - 2 S

Subsitute in to eq 1

6S + 11 (24-2S) = 120

6S + 264 - 22S = 120

264 - 16S = 120

264 - 120 = 16S

S = (264-120) / 16 = 144/16 = $9

c = 24 - 2S = 24 - 2x9 = 24-18 = $6

Senior Ticket is $9

Children Ticket is $6