how many children and how many adults were admitted ?

Question

the admission fee at an amusement park is $3.75 for children and $4.80 for adults. On a certain day, 285 people entered the park, and the admission fees collected totaled 1263 dollars. how many children and how many adults were admitted ?

Answer 1

Let x = the number of children admitted

Let y = the number of adults admitted

 x + y = 285      x = 285 - y

3.75x + 4.80y = 1263       Multiply both sides of this equation by 100 to remove the decimal points.

375x + 480y = 126,300

375(285 - y) + 480y = 126,300

106,875 - 375y + 480y = 126,300

105y = 19,425

y = 185 adult tickets

x = 285 - 185 = 100 children's tickets