Question

The admission fee at an amusement park is $3.25 for children and $5.00 for adults. On a certain day, 278

people entered the park, and the admission fees collected totaled $1201. How many children and how
many adults were admitted?

Answer 1

Children= 108

Adults= 170

Explanation:

First, we structure the two equations:

x= number of tickets for children

y= number of tickets for adults

3.25x + 5y= 1,201

x + y= 278

Now, we isolate x in one equation and substitute in the second one:

x= 278 - y

3.25*(278 - y) + 5y= 1,201

903.5 +1.75y = 1,201

y= 297.5/1.75

y= 170

Finally, we determine the value of x:

x= 278 - 170

x= 108

Prove:

3.25*108 + 5*170= 1,201

170 + 108= 278