How many children and how many adults were admitted?

Question

The admission fee at an amusement park is $1.25 for children and $5.60 for adults. On a certain day, 305 people entered the park, and the admission fees collected totaled 925 dollars. 

Answer 1

X+Y = 305 ----> Y = 305 - X

 

125X + 560Y = 92500 <--- amounts in pennies

 

125X + 560 ( 305-x) = 92500

 

125X + 170800 - 560X = 92500

 

-435X = -78300

 

X = -15300/-435 = 180

 

180 children and 125 adults