The admission fee at an amusement park is $2.25 for children and $6.40 for adults. On a certain day, 380 people entered the park, and the admission fees collected totaled 1685 dollars. How many children and how many adults were admitted?
PLEASE HELP

Question

Answered

Sagot :

Abidemiokinid Abidemiokinid · Answer 1

There were 180 children admitted and 200 adults admitted.

Let the total children admitted be "x"

Let the total adult admitted be "y"

If the admission fee at an amusement park is $2.25 for children and $6.40 for adult with a total fee of $1685 collected, then;

2.25x + 6.40y = 1685

225x + 640y = 168500 ................ 1

If the total number of people that entered the park id 380, hence;

x + y = 380 ............................. 2

Solve equation 1 and 2 simultaneously:

225x + 640y = 168500 ................ 1 * 1

x + y = 380 ............................. 2 * 225

_____________________________________

225x + 640y = 168500

225x + 225y = 85,500

Subtract both equations:

640y - 225y = 168500 - 85500

415y = 83000

y = 200

Recall that x + y = 380

x = 380 - 200

x = 180

This shows that there were 180 children admitted and 200 adults admitted.

Learn more here: https://brainly.com/question/15165519