Question

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 376 people entered the park, and the admission fees collected totaled 1,014.00 dollars. How many adults were admitted?

Answer 1

Answer:180 adults were admitted.

Step-by-step explanation:

Let x represent the number of children that were admitted into the park.

Let y represent the number of adults that were admitted into the park.

The admission fee at the amusement park is $1.50 for children and $4 for adults.

The admission fees collected totaled 1,014.00 dollars. This means that

1.5x + 4y = 1014 - - - - - - - - - -1

On a certain day, 376 people entered the park. This means that

x + y = 376

Substituting x = 376 - y into equation 1, it becomes

1.5(376 - y) + 4y = 1014

564 - 1.5y + 4y = 1014

- 1.5y + 4y = 1014 - 564

2.5y = 450

y = 450/2.5 = 180

Substituting y = 180 into x = 376 - y, it becomes

x = 376 - 180 = 196