Question

The price of a ticket for a certain concert is $5 for a child, $7 for a student, and $10 for an
adult. Suppose that there were 260 people in attendance and that the total amount received
in ticket sales was $1,932. Moreover, suppose that there were three times as many children
at the concert as there were adults. How many children, students, and adults were at the
concert?
Find a system of linear equations which models this problem. Be sure to clearly identify the
variables used. DO NOT SOLVE THE SYSTEM

Answer 1

C + S + A = 260
C = 3A
5C + 7S + 10A = 1932

Answer 2

is that the system of linear equations

Answer 3

Yes : 3 vars, 3 equations. You can solve it.

Answer 4

i dont know how haha, very lost

Answer 5

Because C = 3A we have the following eq:
S + 4 A = 260
25 A + 7 S =1932

Answer 6

thats the complete answer

Answer 7

No, that is the following step to resolve the system of 3 linear equations: reduce it to a system of 2 linear equations. Will you know the following step, to reduce it to a linear equation?

Answer 8

to be honest i dont understand the question at all

Answer 9

The good answer to your question is the following:
C + S + A = 260
C = 3A
5C + 7S + 10A = 1932
with C for number of child, S for nb of students, and A for nb of adults.

Answer 10

C number of child, S nb of students, and A nb of adults.
C + S + A = 260 because there are 260 people.
C = 3A because there are 3 times more child than adults.
5C + 7S + 10A = 1932 because the tickets sales was 1932$.