SOLUTION: 254 people go to a zoo. tickets are $28 for adults, $12 for kids. total sales are $3864. How many adults went to zoo? How many kids? I need to know how to work this kind of proble

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 254 people go to a zoo. tickets are $28 for adults, $12 for kids. total sales are $3864. How many adults went to zoo? How many kids? I need to know how to work this kind of proble      Log On


   

Question 327607: 254 people go to a zoo. tickets are $28 for adults, $12 for kids. total sales are $3864. How many adults went to zoo? How many kids? I need to know how to work this kind of problem. thank you.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's have A represent Adults and K be kids. We'll set up 2 equations.
A+K=254
28A+12K=3864
Now we can use substitution method. Use the first equation and set it up as:
A=254-K
Plug this into the second:
28(254-K)+12K=3864
Are you with me? OK, multiply it out and combine like terms to get:
7112-16K=3864
subtract 7112 from both sides:
-16K=-3248
Divide both sides by -16 to get:
203
Now we know there were 203 kids and
51 Adults
Make sense?
Check it out to see if it works.
RJ
www.math-unlock.com