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Liula [17]
3 years ago
15

Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen ticket

s and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket? please show work.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0
Assign variables to the groups. "S" stands for senior citizens and "C" stands for children. 


3S + 9C = 75

8S + 5C = 67

We must cancel one of these variables out; I did this by multiplying the top equation by 8 and the bottom equation by 3.

24S + 72C = 600
24S + 15C = 201

Subtract these two expressions and you get C = 7. Plug 7 in for C into any of the above expressions and solve for S. You will find that S = 4.
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2 years ago
Please help,
Iteru [2.4K]

Answer:

<u>Cost in US$          =  12 - 16 - 24 - 36 - 40</u>

<u>Number of tickets =  3  - 4 -   6 - 9 - 10</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

For a high school basketball game, it cost's US$ 12 for every 3 tickets.

It means that every ticket costs US$ 4 (12/3 = 4)

2. Let's complete the table below

<u>Cost in US$          =  12 - 16 - 24 - 36 - 40</u>

<u>Number of tickets =  3  - 4 -   6 - 9 - 10</u>

For  US$ 16 = 4 * 4

For US$ 24 = 6 * 4

For US$ 36 = 9 * 4

For US$ 40 = 10 * 4

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