Question

Write the equation and also solve it to find the cost of one game such thattwo of your friends go bowling. One friend rents a pair of howling shoes for $\backslash (3$and howls $3$ games. The other friend brings his own bowling shoes, bowls $4$ games, and buys a soda for $\backslash )0.50$. Both friends spend the same amount of money.

Short answer

The equation is $7x=\$3.50$ and the cost of one game is $\$0.50$.

Step-by-step solution

Step 1.  Apply the concept of Linear equation

In this type of question, use the concept of making a linear equation and do various mathematical operations

Step 2.  Finding the equation of the situation

Since, one friend rents a pair of bowling shoes for $\$3$ and other friends buys a soda for $\$0.50$.

Now,

Number of games played = $4+3=7$

So, let the cost of one game be x.

Cost of $7$ games = $7x$

Total money spent by both the friends = $\$0.50+\$3=\$3.50(on\backslash \mathrm{adding})$

So, the equation for the situation becomes,

$7x=\$3.50$

Step 3.  Solving the equation to get x

The equation is $7x=\$3.50$

Simply, divide to both side of the equation

$\begin{array}{l}7x=\$3.50\\ \frac{7x}{7}=\frac{\$3.50}{7}\\ x=\$0.50\end{array}$