The admission fee at an amusement park is 1.5 dollars for children and

[Jrutter789]

The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 311 people entered the park, and the admission fees collected totaled 754 dollars. How many children and how many adults were admitted?
Your answer is
number of children equals?
number of adults equals?

 

[soroban]

Hello, Jrutter789!

The admission fee at an amusement park is $1.50 for children and $4 for adults.

On a certain day, 311 people entered the park,

and the admission fees collected totaled $754.

How many children and how many adults were admitted?

Let \(\displaystyle A\) = number of adults.

Let \(\displaystyle C\) = number of children.

A total of 311 people entered the park.

. . \(\displaystyle \color{blue}{A +C \:=\:311}\)

The \(\displaystyle A\) adults each paid $4.

. . They paid a total of \(\displaystyle 4A\) dollars.

The \(\displaystyle C\) children each paid $1.50.

. . They paid a total of \(\displaystyle 1.5C\) dollars.

Together they paid a total of $754.

. . \(\displaystyle \color{blue}{4A + 1.5C \:=\:754}\)


Solve the system of equations.