The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 2,100 people entered the park, and the admission fees that were collected totaled $4,900. How many children and how many adults were admitted?

This is a system of equations that I will hate doing!

X = bratty children

Y = adults, who should pay more

change all money to pennies!!

150X + 400Y = 490000
- 150 *(X + Y = 2100)

150X + 400Y = 490000
- 150X - 150Y = - 315000
------add

250Y = 175000

Y = 700
------fortunately, you can stop now

2100 - 700 = 1400

700 adults *$4.00 = $2800.00

1400 children * $1.50 = $2100.00
------add money

= $4900.00
------all checks