Question

The admission fee at an amusement park is $1.50 for children and $4.00 for adults. on a certain day, 2,700 people entered the park, and the admission fees that were collected totaled $5,800. how many children and how many adults were admitted?

Answer 1

x=children y=adults
5800=1.5x+4y
2700=x+y

First, solve the second equation for y
y=2700-x
Second, take the equasion that was just solved a substitute it in for y in the first equation
5800=1.5x+4(2700-x)
diatribute the 4 within the parenthesis
5800=1.5x+10800-4x
combine like terms
5800=-2.5x+10800
subtract 10800
-5000=-2.5x
divide by -2.5
2000=x

Take the value for x and place it in the second equation(beginning)
2700=x+y
2700=2000+y
subtract 2000
700=y

There were 2000 children and 700 adults admitted.