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

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.