a total of 330 children and adults attended a school play there were 21 times as many children in attendant as there was adults this situation is modelby the given system of equation where represents the number of adults and c represents the number of children c = 21a a+c=330

Respuesta :

Answer:

The number of adults is [tex]15\ adults[/tex]

The number of children is [tex]315\ adults[/tex]

Step-by-step explanation:

Let

c-----> the number of children

a-----> the number of adults

we know that

[tex]a+c=330[/tex] ------> equation A

[tex]c=21a[/tex] ------> equation B

substitute equation B in equation A and solve for c

[tex]a+21a=330[/tex]

[tex]22a=330[/tex]

[tex]a=15\ adults[/tex]

Find the number of children c

[tex]c=21a[/tex]

[tex]c=21(15)=315\ children[/tex]

therefore

The number of adults is [tex]15\ adults[/tex]

The number of children is [tex]315\ adults[/tex]

The system of equations is c = 21a and a + c = 330

To answer this question, we make use of the following representations

  • a represents adults
  • c represents children

From the question, we have:

[tex]c = 21a[/tex] --- the relationship between the number of children and adults

[tex]a + c =330[/tex] --- the total number of people

Hence, the system of equations is c = 21a and a + c = 330

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