How many children and how many adults were admitted?

Question

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 341 people entered the park, and the admission fees collected totaled 924.00 dollars. How many children and how many adults were admitted?

Answer 1

1.5c +4a = 924

c+a =341

multiply by 1.5

1.5c+1.5a =1.5(341)

subtract 3rd from 1st equation

2.5a = 924-511.5

divide by 2.5

a= 412.5/2.5=165 adults

c = 341-165=176 children

1.5(176)+4(165)

= 264+660

=924