Q63. - Algebra 2

Question

Define a variable, write an equation and solve the problem.

 

BOWLING Jon and Morgan arrive at Sunnybrook Lanes with $\backslash (16.75$. Find the maximum number of games they can bowl if they each rent shoes.

 

Shoe Rental: $\backslash )1.50$

 

Games: $\$2.50$

Step-by-Step Solution

Answer

The required answer is $5.5$.

Step 1- Define the required variable

Consider x be the price of games played by them. 

Step 2 – Form the equation

Take the variable and form the equation by using that the two times of rent price of shoes plus price of games played by them is equal to the total price carried by them.

 

$2\left(1.50\right)+x=16.75$

Step 3- Solve the equation for x

Write the obtained equation in simplified form.

 

$3+x=16.75$ 

 

Perform subtraction of 3 from both sides of the equation.

 

$\begin{array}{c}3+x-3=16.75-3\\ x=13.75\end{array}$

Step 4- Perform the checking

Perform the addition between the price of games and price for rent of shoes.

$3+13.75=16.75$

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

Step 5- Calculate the number of games

Divide the obtained total price of games by the price for each game.

$\frac{13.75}{2.50}=5.5$

Step 6- Make the conclusion

The count of games played is $5.5$.