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?

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.