Question

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

Answer 1

Answer: 325 adults 10 kids

Explanation:

If you multiply 325 by 12 you get $3,900, 10 times 5 is equal to 50. 3,900 plus 50 is equal to 3,950

Edit: jk I’m wrong I didn’t see that there were 405 ppl

Answer 2

Answer: 275 adults, 130 children

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