Can you provide the algebraic solution step by step?

Question

There were 430 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $630. How many adults and how many children attended?

Answer 1

a fairly standard type of problem, often illustrated by examples in a textbook or by a teacher in class.

 

Let A = # of adults, so # of children must be 430-A.

Proceeds are 630 = 2A + 1(430-A).

 

Solve this one equation for A and you're practically done.