During the summer, we have a big festival in my town called the Taste of Joliet that I attend every year. I always wondered how much money they make based on the huge amount of people that attend on the night they have a famous singer perform. The admissions fee is $15 for adults and $5 for children under 12. On the performance day, about 25,000 people show up. On performance night the money made on admissions is $295,000. Of the money made on performance night, how many people are adults and how many are children?

A= adults

C= children

total number; A + C = 25,000

total income; 15A + 5C= 295,000