Summer day pool prices

Question

on a certain hot day, 481 people used the pool. The daily are $1.25 for children and $2.25 for adults. The recipes for admission totaled $865.25. How many children and adults used the swimming pool that day?

Answer 1

let there be x children and (481-x) adults.

1.25x +2.25(481-x) = 865.25

1.25x +1082.25 -2.25x =865.25

x= 217

so 217 children and 481-217 = 264 adults