SOLUTION: I cannot figure out the equation for this problem: "The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 269 people entere

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I cannot figure out the equation for this problem: "The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 269 people entere      Log On


   

Question 911494: I cannot figure out the equation for this problem: "The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 269 people entered the park, and the admission fees collected totaled 766 dollars. How many children and how many adults were admitted". Can you please show me how you come up with the equation please?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
total sold 269
total sales 766
product sold at 1.5 and 4
c+a=269,
1.5*c+4*a=766
c=269-a
We have two equations with two variables.
We will substitute to make one equation with one variable
1.5*(269-a)+4*a=766
403.5-1.5a+4*a=766
2.5*a=362.5
a=145.0
c=269-a
c=124 at $1.5 and a=145 at $4
check
124+145=269
1.5*c+4*a=766
1.5*124+4*145=766
186.0+580=766
766.0=766
ok
codetickv