The manager at a community pool is looking over receipts. On a certain Monday, the pool had 41 children and 28 adults, which brought in $222. That same week on Tuesday, 14 children and 21 adults came to the pool, which brought in $133. What are the admission prices for children and adults?

Answer 1

Use what they told you:
41c+28a = 222
14c+21a = 133
Now just solve for c and a

Answer 2

45