Q68. - Algebra 2

Question

For the exercise 68, define a variable, write an equation, and solve the problem.

 

The Parent Teacher Organization has raised $\backslash (1800$ to help pay for a trip to an amusement park. They ask that there be one adult for every five students attending. Adult tickets cost $\backslash )45$ and student ticket cost $\$30$. If the group wants to take 50 students, how much will each student need to pay so that adults agreeing to chaperone pay nothing?

Step-by-Step Solution

Answer

The required answer is $\$3$.

Step 1- Determine the total price for the trip

Calculate the total price for the trip.

$50·30+10·45=1950$

Step 2- Define the required variable

Consider x be the required money from each student. 

Step 3 – Form the equation

Take the variable and form the equation by using that the 50 times of required money for each student plus the total raised price is equal to the total price for the trip.

$50x+1800=1950$

Step 4- Solve the equation for x

Perform subtraction of 1800 on both sides of the equation.

$\begin{array}{c}50x+1800-1800=1950-1800\\ 50x=150\end{array}$

Perform division of 50 on both sides of the equation.

$\begin{array}{c}\frac{50x}{50}=\frac{150}{50}\\ x=3\end{array}$

Step 4- Perform the checking

Perform the addition between the money paid by all the students and total raised money.

$150+1800=1950$

This results in the total price which means that the obtained answer is correct.