math promb (very hard)

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 874.00 dollars. How many children and how many adults were admitted?

Answer 1

Let x = number of children. Then 341 - x = number of adults

1.50x + 4(341 - x) = 874

-2.5x + 1364 = 874

-2.5x = -490

x = 196

196 children and 145 adults attended.