Question

The admission fee at an amusement park is $2.00 for children and $6.80 for adults. On a certain day, 388 people entered the park, and the admission fees collected totaled $1736. How many children and how many adults were admitted?

____number of children
____Number of adults

Answer 1

Answer: 188 children and 200 adults were admitted.

Explanation:

Let x represent the number of children that were admitted that day.

Let y represent the number of adults that were admitted that day.

On a certain day, 388 people entered the park. It means that

x + y = 388

The admission fee at the amusement park is $2.00 for children and $6.80 for adults. The admission fees collected that day totaled $1736. It means that

2x + 6.8y = 1736- - - - - - - - - - - 1

Substituting x = 388 - y into equation 1, it becomes

2(388 - y) + 6.8y = 1736

776 - 2y + 6.8y = 1736

- 2y + 6.8y = 1736 - 776

4.8y = 960

y = 960/4.8

y = 200

x = 388 - y = 388 - 200

x = 188