The school that Brenda goes to is selling tickets to the annual talent show. On the first day of the ticket sales the school sold 2 adult tickets and 14 child tickets for a total of $96. The school took in $120 on the second day by selling 12 adult tickets and 8 child tickets. find the price of an adult ticket and the price of a child ticket.

Question

Mathematics

Danny

10 January, 10:47

The school that Brenda goes to is selling tickets to the annual talent show. On the first day of the ticket sales the school sold 2 adult tickets and 14 child tickets for a total of $96. The school took in $120 on the second day by selling 12 adult tickets and 8 child tickets. find the price of an adult ticket and the price of a child ticket.

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Answers (1)

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Alissa Murphy · Answer 1

A=cost er adult ticket

c=cost per child ticket

2a+14c=96

12a+8c=120

solve

simplify by dividing firs equation by 2 and 2nd by 4

a+7c=48

3a+2c=30

multiply first equaiton by - 3 and add to second

-3a-21c=-144

3a+2c=30 +

0a-19c=-114

-19c=-114

divide both sides by - 19

x=6

sub back

a+7c=48

6+7c=48

minus 6

7c=42

divide 7

c=6

adult ticket=$6

child ticekt=$6