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 SYSTE

Answer 1

Na = number of adults.
Nc = number of child
Ns = number of students

Here are the 3 equations :

\[Nc = 3 Na\]

260 = Nc + Na + Ns

\[260 = 4 Na + Ns\]

1932 = 5 Nc + 7 Ns + 10 Na
1932 = 5 * 3 Na + 7 Ns + 10 Na
\[1932 = 7 Ns + 25 Na\]