math word prob.

Question

The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 306 people entered the park, and the admission fees collected totaled 734 dollars. How many children and how many adults were admitted?

Answer 1

x = number of children entered park

306-x = number of adults entered park

306 total people

1.5x = fees from children

4(306-x) = fees from adults

734 = total fees

1.5x + 4(306-x) = 734

1.5x + 1224 - 4x = 734

-2.5x = -490

x = 196

306 -x = 110

196 children and 110 adults