Question

The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 297 people entered the park, and the admission fees collected totaled 858 dollars. How many children and how many adults were admitted?

a) Number of children equals 132, number of adults equals 165.

b) Number of children equals 165, number of adults equals 132.

c) Number of children equals 99, number of adults equals 198.

d) Number of children equals 198, number of adults equals 99.

Answer 1

The question involves solving a system of linear equations to find out how many children and adults were admitted to an amusement park. After solving the equations, we found that there were 165 children and 132 adults admitted.

Step-by-step explanation:

The problem presented is a classic example of a system of linear equations question, where we need to determine how many children and how many adults were admitted to an amusement park based on the total number of people and the total admission fees collected. We use two equations: one for the total number of people (children + adults = 297) and one for the total amount of money (1.5 * children + 4 * adults = 858).

We can solve this system using either substitution or elimination. If we multiply the first equation by 1.5, we can subtract it from the second equation to eliminate the variable representing the number of children. This will give us the number of adults. Once we have the number of adults, we can substitute it back into the first equation to find the number of children. After solving, we find that there were 165 children and 132 adults admitted to the park, which corresponds to option b.