The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 372 people entered the park, and the admission fees collected totaled 1008 dollars. How many children and how many adults were admitted?
1.5c + 4(372-c) = 1008
c = 192
so, 192 children, 180 adults
To solve this problem, we can use a system of linear equations. Let's use "c" to represent the number of children and "a" to represent the number of adults.
We are given two pieces of information:
1. The total number of people who entered the park: c + a = 372
2. The total amount of admission fees collected: 1.5c + 4a = 1008
To solve this system of equations, we can use the substitution method or the elimination method. Let's use the substitution method.
From equation 1, we can rewrite it as c = 372 - a.
Substituting this expression for "c" in equation 2, we get:
1.5(372 - a) + 4a = 1008.
Expanding and simplifying the equation:
558 - 1.5a + 4a = 1008,
2.5a = 450,
a = 450 / 2.5 = 180.
Substituting the value of "a" back into equation 1, we get:
c + 180 = 372,
c = 372 - 180 = 192.
Therefore, there were 192 children and 180 adults admitted to the amusement park.