The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 336 people entered the park, and the admission fees collected totaled 854.00 dollars. How many
children and how many adults were admitted?

There were 108 children and 175 adults.

System of equations:

1.5x + 4y = 862
x + y = 283

Let's use substitution of the x variable to solve the system.

x + y = 283 <--- subtract x from both sides

y = 283 - x

Substitute y = 283 - x into the first equation.

1.5x + 4 (283 - x) = 862 <--- distribute 4 to 283 and -x

1.5x + 1132 - 4x = 862 <--- combine 1.5x and -4x

1132 - 2.5x = 862 <--- subtract 1132 from both sides

-2.5x = -270 <--- divide both sides by -2.5

x = 108

Substitute x =108 back into y = 283 - x

y = 283 - 108 = 175

There were 108 children and 175 adults.

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