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Advocard [28]
3 years ago
10

Tickets to the concert were $2.50 for adults and $1 for students. $1200 was collected and 750 tickets were sold. Write a system

of linear equations that can be used to find how many adults and how many students attended the concert. How many adults and students attended?
Mathematics
1 answer:
Archy [21]3 years ago
6 0

Answer: 300 adults and 450 children

Step-by-step explanation:

Let the number of adults be x and the number of students be y , then

x + y = 750 ........................... equation 1

the cost of a ticket for adult is $2.50 , that means for x adults , the cost is $2.50x . Also , the cost of ticket for student is $1 , this means that the cost of ticket for y students is $y , writing this in equation form , we have

2.5x + y = 1200 ............................ equation 2

Therefore : the system of linear equations that can be used to find how many adults and how many students attended the concert is

x + y = 750

2.5x + y = 1200

solving the system of linear equation by substitution method , from equation 1 make x the subject of the formula , that is

x = 750 - y ....................... equation 3

substitute x = 750 - y into equation 2 , that is

2.5 ( 750 - y ) + y = 1200

1875 - 2.5y + y = 1200

1875 - 1.5y = 1200

1.5y = 1875 - 1200

1.5y = 675

y = 675/1.5

y = 450

substitute y = 450 into equation 3 , we have

x = 750 - y

x = 750 - 450

x = 300

Therefore , 300 adults and 450 children entered

Step-by-step explanation:

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32 models need to make model of 3200.

Given that a 1 model contain 100.

Two series of numbers, usually empirical data, that are proportional or proportional if their respective elements are in constant proportion, called the scaling factor or the rate constant.

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Now, we have to find how many model contains 3200 elements.

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We will write this in proportion as

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Learn more about proportional from here brainly.com/question/23536327

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