there were 370 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $560. How many adults and how many children attended?

Set up equations: let c be # of children, and a be # adults:

c + a = 370

c + 2a = 560

solve:

c-c + 2a - a = 560-370

a = 190

so

c = 370 - 190 = 180

190 adults and 180 children attended.