The admission fee at an amusement park is 150 for children

The admission fee at an amusement park is $ 1.50 for children and $ 4.00 for adults. On a certain day, 338 people entered the park, and the admission fees collected totaled $932 . How many children and how many adults were admitted?
Your answer is:
Number of children equals  
Number of adults equals  

Solution

338 people entered the park

Now, say we have x children

So, the remaining (338 - x) are adults

So, x children and (338 - x) adults

From each child, we get 1.50
So, from x children, we get 1.5x dollars

From each adult, we get 4
So, form (338 - x) adults, we get 4(338 - x) dollars

Now, that total becomes 932 :

1.5x + 4(338 - x) = 932
1.5x + 1352 - 4x = 932
-2.5x = 932 - 1352
-2.5x = -420
So, x = 168

So, 338 - x becomes 338 - 168 =170

So, answers :

168 children
170 adults