Question

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 332

people entered the park, and the admission fees collected totaled 898.00 dollars. How many children and
how many adults were admitted?

Answer 1

172 kids and 160 adults

Explanation:

We can create two equations with the information given.

1.5x + 4y = 898

x + y = 332

We can then bring the x in the second equation over to the other side.

y = 332 - x

We can now plug this equation into the one before.

1.5x + 4(332 - x) = 898

We now do the distributive property on the equation and result with

1.5x + 1328 - 4x = 898

Then we can combine like terms and add 1.5x and -4x together and bring 1328 over by subtracting it from 898.

-2.5x = -430

-430 / 2.5x = 172

x = 172

x is defining how many children when to the park.

Now we just need to figure out y by subtracting it from the total amount of people (aka plugging it into the second equation)

y = 332 - 172

y= 160

We end up with

x = 172

y = 160

172 children and 160 adults