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love history [14]
3 years ago
5

The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tic

kets for $9. The 9th graders received a total of $240 from sales. In total, 40 tickets were sold. Write a system to represent this situation. Be sure to define your variables. Use your system to determine how many tickets of each type the students sold.
Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0

Answer:

<em>Total number of adult tickets sold = 10</em>

<em>Total Number of Students tickets sold = 30</em>

Step-by-step explanation:

Let x be the number of student tickets sold.

Let y be the number of adult tickets sold.

As per the question statement, total tickets sold are 40.

x +y =40 ...... (1)

Price of each student ticket = $5

Sales from students' tickets = Price of each students ticket \times Number of students tickets sold

Sales from student's tickets = 5 \times x

Price of each adult ticket = $9

Sales from adult's tickets = Price of each adult's ticket \times Number of adult tickets sold

Sales from student's tickets = 9 \times y

Total sales is done by students and adult tickets is $240 as per the question statement.

\Rightarrow 5x + 9y = 240 ......(2)

Solving equations (1) and (2) using elimination method:

Equation (2) - 5 \times (1) :

5x  + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10

Total number of adult tickets sold = 10

Putting y=10 in equation (1):

x+10 = 40\\\Rightarrow x = 30

Total number of students tickets sold = 30

<em>Total number of adult tickets sold = 10</em>

<em>Total Number of Students tickets sold = 30</em>

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