Question

Help please!!!! Im really stuck.

Answer 1

Answer: 275 adults and 130 children

Step-by-step explanation:

First, find the value of one variable by rearranging a equation:

$a+c=405\\c=405-a$

Substitute it into the other equation and solve for a:

$12a+5c=3950\\12a+5(405-a)=3950\\12a+2025-5a=3950\\12a-5a=3950-2025\\7a=1925\\a=\frac{1925}{7} =275$

Use the a-value to find b by substituting it into the rearranged equation:

$c=405-a=405-275=130$

Therefore, the answer would be:

$\left \{ {{a=275} \atop {c=130}} \right.$