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
Read more about system of equations at:
https://brainly.com/question/14323743