Northdale Productions put on a show
that 405 people attended. They made
$3,950. They charged $12 for every adult
and $5 for every child. How many adults(a)
and how many children(c) attended?
a+c=405
12a+5c=$3,950
[?] adults [] children

275 adults, 130 children

Step-by-step explanation:

a+c=405

12a+5c=$3,950

Using elimination lets multiply all terms in a+c=405 by -5 to get

-5a-5c=-2025

then, combining the two equations we get 7a=3950-2025

7a=19225

a=275

405-275=130

c=130

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.