I’m stuck on this one. I keep struggling with the worded problems like this

Question

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled 714.00 dollars. How many children and how many adults were admitted?

Answer 1

1.5c + 4a = 714

c+a = 276

1.5c +1.5a = 414

subtract last equation from the 1st equation to get

2.5a = 300

a =300/2.5 = 120 adults

c=276-120 = 156 children

1.5(156) + 4(120) = 234 + 480 = 714