The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 350 people entered the park, and the admission fees collected totaled 1000 dollars. How many children and how many adults were admitted?

160 children and 190 adults were admitted.

Step-by-step explanation:

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

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

On a certain day, 350 people entered the park. It means that

x + y = 350

The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. The admission fees collected on that day totaled 1000 dollars. It means that

1.5x + 4y = 1000- - - - - - - - - - -1

Substituting x = 350 - y into equation 1, it becomes

1.5(350 - y) + 4y = 1000

525 - 1.5y + 4y = 1000

- 1.5y + 4y = 1000 - 525

2.5y = 475

y = 475/2.5

y = 190

x = 350 - y = 350 - 190

x = 160

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