Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

the school is selling tickets to a basketball playoff game. On the first day of
ticket sales the school sold 45 adult tickets and 16 child ticket for a total of $238. The
school took in $175 on the second day by selling 38 adult tickets and 22 child tickets.
Find the price of a senior adult and the price of a child ticket.

Sagot :

bankskingston0

Answer:

Step-by-step explanation:

The price of senior citizen ticket is $8 and that of children ticket is $14          

Solution:

Let the price of ticket for senior citizen be ‘s’ and for child be ‘c’

Given that on the first day of ticket sales the school sold 3 senior citizen and 1 child ticket for a total of $38

So, an equation can formed which is as follows:

3s + c = 38  ---- eqn 1

On the Second day of ticket sales the school sold 3 senior citizen and 2 child ticket for a total of $52

3s + 2c = 52  ---- eqn 2

Multiply eqn 1 by 2

6s + 2c = 76 ---- eqn 3

Now subtract eqn 2 from eqn 2

6s + 2c = 76

(-) 3s + 2c = 52

---------------------

3s = 24

s = 8

Plug in s = 8 in eqn 2,

24 + 2c = 52

2c = 28

c = 14

Hence, the price of senior citizen ticket is $8 and that of children ticket is $14                      

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.