Question

Help please!!!! Im really stuck.

Answer 1

Answer: 275 adults and 130 children

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=(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.`