SOLUTION: I currently am working on a problem I created myself to solve an augmented matrix. The rules confuse me and I always end up switching rows that should not be switched and only gett

Question 811534: I currently am working on a problem I created myself to solve an augmented matrix. The rules confuse me and I always end up switching rows that should not be switched and only getting one of the answers right. Can you please help me? Here is my problem:
A school hosts a fun run. At this year's fun run, tickets are 25$ for adults and $15 for children. The school had 500 people attend and made a profit of $10,000. How many children and adults ran the race?
Thank you so much!

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
strictly speaking you didn't give enough info. You said the profit was 10000.
But you didn't say anything about amount received nor expenses.
You probably mean that 10,000 was taken in( received).
a+c=500,
25a+15c=10000
a = 250, c = 250
There were 250 adults and 250 children
RELATED QUESTIONS
I am stuck on a project, and am desperate for help. My teacher denied me any help during... (answered by Edwin McCravy)

Solve the system of equations by finding a row echelon form for the augmented matrix.... (answered by greenestamps,ewatrrr)

I am currently working on polynomials and exponents with multiply variables and long... (answered by josgarithmetic,Theo)

I am currently working on my masters in education and have a math class (which is not MY... (answered by scott8148)

I am in desparate need of assistance with augmented matrix. I need to solve the following (answered by stanbon)

A farmer raises only goats and chickens on his farm. All together he has 47 animals with... (answered by stanbon)

Please help me solve this equation where the answer needs to be written in y=mx+b form:... (answered by checkley75)

i need to solve this system using an augmented matrix and i don't know how colud someone... (answered by checkley71)

I am quite confused when it comes to the augmented matrix. I have been working on this... (answered by stanbon)