Question

The admission fee at an amusement park is $2.50 for children and $5.80 for adults. On a certain day, 380 people entered the park, and the admission fees collected totaled 1544 dollars. How many children and how many adults were admitted?

number of children equals

number of adults equals

Answer 1

200 children.

180 adults.

Explanation:

let x=Children and y=Adults

create 2 equations.

x+y = 380

2.50x+5.80y = 1544

solve for x in the first equation and plug into the second equation.

x = 380-y

2.50(380-y) +5.80y = 1544

distribute and simplify.

950 + 3.3y = 1544

simplify

3.3y = 594

y = 180

plug y back into first equation and you get that there were 200 children.