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
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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.
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